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Commutative monoids, computer algebra
Spain

Activities

Employment (3)

Universidad de Granada: Granada, Andalucía, ES

2017-12-29 to present | Catedrático de Universidad (Álgebra)
Employment
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Universidad de Granada: Granada, Andalucía, ES

1999-09-27 to 2017-12-29 | Profesor Titular de Universidad (Álgebra)
Employment
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Universidad de Granada: Granada, Andalucía, ES

1992 to 1999 | Profesor Asociado (Álgebra)
Employment
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Education and qualifications (3)

Universidad de Granada: Granada, Andalucía, ES

1992 to 1996 | Doctor en Ciencias Matemáticas
Education
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Universidad de Granada: Granada, Andalucía, ES

1989 to 1992 | Diplomado en Informática
Education
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Universidad de Granada: Granada, Andalucía, ES

1987 to 1992 | Licenciado en Matemáticas
Education
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Professional activities (7)

Taylor and Francis Inc: New York, NY, US

2020-01-01 to present | Editorial Board (Communications in Algebra)
Service
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Università degli Studi di Catania: Catania, Sicilia, IT

2016-05-30 to present | Associate Editor (Le Matematiche)
Service
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Universidade do Porto: Porto, Porto, PT

2012-03-01 to present | Associate member (Centro de Matemática (CMUP))
Service
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Universidad de Granada: Granada, Andalucía, ES

2019-10-01 to 2022-03-10 | Director de Internacionalización (Escuela Internacional de Posgrado)
Service
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Universidad de Granada: Granada, Andalucía, ES

2018-10-30 to 2020-07-18 | Coordinador (Máster en Matemáticas)
Service
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Universidad de Granada: Granada, Andalucía, ES

2015-11-25 to 2020-01-29 | Subdirector (Instituto de Matemáticas)
Service
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Universidad de Granada: Granada, Andalucía, ES

1999-02-18 to 2000-07-07 | Secretario (Departamento de Álgebra)
Service
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Funding (3)

Semigrupos Numéricos y afines; generalizaciones y aplicaciones

2015-01 to 2018-12 | Grant
Ministerio de Economía y Competitividad (Madrid, ES)
GRANT_NUMBER:

MTM2014-55367-P

Source: Self-asserted source
Pedro Abelardo García-Sánchez

Semigrupos Numéricos

2011-01 to 2013-12 | Grant
Ministerio de Economía y Competitividad (Madrid, ES)
GRANT_NUMBER:

MTM2010-15595

Source: Self-asserted source
Pedro Abelardo García-Sánchez

Iberian Meeting on Numerical Semigroups - Granada 2010

2010-01 to 2010-12 | Grant
Ministerio de Ciencia y Tecnología (Madrid, ES)
GRANT_NUMBER:

MTM2009-07987-E

Source: Self-asserted source
Pedro Abelardo García-Sánchez

Works (50 of 111)

Items per page:
Page 1 of 3

Universally free numerical semigroups

Journal of Pure and Applied Algebra
2024-05 | Journal article
Contributors: Ignacio García-Marco; Pedro A. García-Sánchez; Ignacio Ojeda; Christos Tatakis
Source: check_circle
Crossref

The isomorphism problem for ideal class monoids of numerical semigroups

Semigroup Forum
2024-04 | Journal article
Part of ISSN: 0037-1912
Part of ISSN: 1432-2137
Contributors: P. A. García-Sánchez
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Apéry Sets and the Ideal Class Monoid of a Numerical Semigroup

Mediterranean Journal of Mathematics
2024-01 | Journal article
Contributors: Laura Casabella; Marco D’Anna; Pedro A. García-Sánchez
Source: check_circle
Crossref

Cyclotomic exponent sequences of numerical semigroups

Discrete Mathematics
2022 | Journal article
EID:

2-s2.0-85123847609

Part of ISSN: 0012365X
Contributors: Ciolan, A.; García-Sánchez, P.A.; Herrera-Poyatos, A.; Moree, P.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

Factorization in monoids by stratification of atoms and the Elliott problem

Quaestiones Mathematicae
2022 | Journal article
EID:

2-s2.0-85132928087

Part of ISSN: 1727933X 16073606
Contributors: García-Sánchez, P.A.; Krause, U.; Llena, D.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

Algorithms for generalized numerical semigroups

Journal of Algebra and its Applications
2021 | Journal article
EID:

2-s2.0-85082404674

Part of ISSN: 02194988
Contributors: Cisto, C.; Delgado, M.; García-Sánchez, P.A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

Distances between Factorizations in the Chicken McNugget Monoid

College Mathematics Journal
2021 | Journal article
EID:

2-s2.0-85107211744

Part of ISSN: 19311346 07468342
Contributors: Chapman, S.; García-Sánchez, P.; O’Neill, C.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids

Journal of Algebra
2021 | Journal article
EID:

2-s2.0-85096114862

Part of ISSN: 1090266X 00218693
Contributors: Bruns, W.; García-Sánchez, P.A.; Moci, L.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

CRITICAL BINOMIAL IDEALS OF NORTHCOTT TYPE

Journal of the Australian Mathematical Society
2021-02-16 | Journal article
Contributors: P. A. GARCÍA‐SÁNCHEZ; D. LLENA; I. OJEDA
Source: check_circle
Crossref
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Isolated factorizations and their applications in simplicial affine semigroups

Journal of Algebra and its Applications
2020 | Journal article
EID:

2-s2.0-85065437290

Part of ISSN: 02194988
Contributors: García-Sánchez, P.A.; Herrera-Poyatos, A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

Numerical Semigroups and Applications

Springer International Publishing
2020 | Book
Part of ISSN: 2509-8888
Part of ISSN: 2509-8896
Contributors: Abdallah Assi; Marco D'Anna; Pedro A. García-Sánchez
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Numerical semigroups with embedding dimension three and minimal catenary degree

Integers
2020 | Journal article
EID:

2-s2.0-85097427073

Part of ISSN: 15531732
Contributors: García-Sánchez, P.A.; Cruz, H.M.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

Wilf's conjecture in fixed multiplicity

International Journal of Algebra and Computation
2020 | Journal article
EID:

2-s2.0-85082130535

Part of ISSN: 02181967
Contributors: Bruns, W.; García-Sánchez, P.; O'Neill, C.; Wilburne, D.; O'Neill, C.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

Almost symmetric numerical semigroups with high type

Turkish Journal of Mathematics
2019 | Journal article
EID:

2-s2.0-85073157117

Part of ISSN: 13036149 13000098
Contributors: García Sánchez, P.A.; Ojeda, I.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

Canonical bases of modules over one dimensional K -algebras

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
2019 | Journal article
EID:

2-s2.0-85064925666

Part of ISSN: 15791505 15787303
Contributors: Abbas, A.; Assi, A.; García-Sánchez, P.A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

The computation of factorization invariants for affine semigroups

Journal of Algebra and Its Applications
2019 | Journal article
Contributors: Pedro Abelardo García-Sánchez; Christopher O’Neill; Gautam Webb
Source: check_circle
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Inside factorial monoids and the Cale monoid of a linear Diophantine equation

Journal of Algebra
2019-08 | Journal article
Contributors: Pedro A. García-Sánchez; Ulrich Krause; David Llena
Source: check_circle
Crossref
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Good subsemigroups of N-n

International Journal of Algebra and Computation
2018 | Journal article
Contributors: Marco D’Anna; Pedro A. García-Sánchez; Vincenzo Micale; Laura Tozzo
Source: check_circle
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On the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroups

Designs Codes and Cryptography
2018 | Journal article
Contributors: Farran, Jose I.; Garcia-Sanchez, Pedro A.; Heredia, Benjamin A.
Source: check_circle
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The second Feng-Rao number for codes coming from telescopic semigroups

Designs Codes and Cryptography
2018 | Journal article
Contributors: Farran, Jose I.; Garcia-Sanchez, Pedro A.; Heredia, Benjamin A.; Leamer, Micah J.
Source: check_circle
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THE TREE OF NUMERICAL SEMIGROUPS WITH LOW MULTIPLICITY

arXiv
2018 | Other
EID:

2-s2.0-85095350396

Part of ISSN: 23318422
Contributors: García-Sánchez, P.A.; Marín-Aragón, D.; Robles-Pérez, A.M.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

Delta sets for nonsymmetric numerical semigroups with embedding dimension three

Forum Mathematicum
2018-01-01 | Journal article
Contributors: Pedro A. García-Sánchez; David Llena; Alessio Moscariello
Source: check_circle
Crossref
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Bases of subalgebras of K[x] and K[x]

Journal of Symbolic Computation
2017 | Journal article
Contributors: Pedro Abelardo García-Sánchez
Source: check_circle
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Parametrizing Arf numerical semigroups

Journal of Algebra and Its Applications
2017 | Journal article
Contributors: P. A. García-Sánchez; B. A. Heredia; H. İ. Karakaş; J. C. Rosales
Source: check_circle
Web of Science Researcher Profile Sync
grade
Preferred source (of 2)‎

Delta sets for symmetric numerical semigroups with embedding dimension three

Aequationes mathematicae
2017-06-14 | Journal article
Contributors: P. A. García-Sánchez; D. Llena; A. Moscariello
Source: check_circle
Crossref
grade
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Algorithms for curves with one place at infinity

Journal of Symbolic Computation
2016 | Journal article
EID:

2-s2.0-84940832925

Source: Self-asserted source
Pedro Abelardo García-Sánchez
grade
Preferred source (of 3)‎

An overview of the computational aspects of nonunique factorization invariants

Springer Proceedings in Mathematics and Statistics
2016 | Conference paper
EID:

2-s2.0-84980606107

Contributors: García-Sánchez, P.A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier
grade
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Cyclotomic numerical semigroups

SIAM Journal on Discrete Mathematics
2016 | Journal article
EID:

2-s2.0-84976877469

Contributors: Ciolan, E.-A.; García-Sánchez, P.A.; Moree, P.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier
grade
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Measuring primality in numerical semigroups with embedding dimension three

Journal of Algebra and its Applications
2016 | Journal article
EID:

2-s2.0-84951740424

Contributors: Chapman, S.T.; Garciá-Sánchez, P.A.; Tripp, Z.; Viola, C.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier
grade
Preferred source (of 2)‎

Numerical Semigroups and Applications

Springer International Publishing
2016 | Book
Part of ISSN: 2509-8888
Part of ISSN: 2509-8896
Contributors: Abdallah Assi; Pedro A. García-Sánchez
Source: Self-asserted source
Pedro Abelardo García-Sánchez

Numerical semigroups with a given set of pseudo-Frobenius numbers

LMS Journal of Computation and Mathematics
2016 | Journal article
EID:

2-s2.0-84973904940

Contributors: Delgado, M.; García-Sánchez, P.A.; Robles-Pérez, A.M.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier
grade
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Numericalsgps, a GAP package for numerical semigroups

ACM Communications in Computer Algebra
2016 | Journal article
EID:

2-s2.0-84968739621

Contributors: Delgado, M.; García-Sánchez, P.A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier
grade
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Frobenius vectors, hilbert series and gluings of affine semigroups

Journal of Commutative Algebra
2015 | Journal article
EID:

2-s2.0-84950238558

Contributors: Assi, A.; García-Sánchez, P.A.; Ojeda, I.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier
grade
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On the number of L-shapes in embedding dimension four numerical semigroups

Discrete Mathematics
2015 | Journal article
WOSUID:

WOS:000359955700003

Contributors: Aguilo-Gost, F.; Garcia-Sanchez, P. A.; Llena, D.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
grade
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The Second Feng-Rao Number for Codes Coming From Inductive Semigroups

Ieee Transactions on Information Theory
2015 | Journal article
WOSUID:

WOS:000360015900028

Contributors: Farran, Jose I.; Garcia-Sanchez, Pedro A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
grade
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When the catenary degree agrees with the tame degree in numerical semigroups of embedding dimension three

Involve
2015 | Journal article
EID:

2-s2.0-85029302290

Part of ISSN: 19444184 19444176
Contributors: García-Sánchez, P.A.; Viola, C.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

An algorithm to compute the primitive elements of an embedding dimension three numerical semigroup

Electronic Notes in Discrete Mathematics
2014 | Journal article
EID:

2-s2.0-84923965583

Contributors: Aguiló-Gost, F.; García-Sánchez, P.A.; Llena, D.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

CONSTRUCTING ALMOST SYMMETRIC NUMERICAL SEMIGROUPS FROM IRREDUCIBLE NUMERICAL SEMIGROUPS

Communications in Algebra
2014 | Journal article
Contributors: Rosales, J. C.; Garcia-Sanchez, P. A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
grade
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Denumerants of 3-numerical semigroups

Electronic Notes in Discrete Mathematics
2014 | Journal article
EID:

2-s2.0-84923951930

Contributors: Aguiló-Gost, F.; García-Sánchez, P.A.; Llena, D.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

Homogenization of a nonsymmetric embedding-dimension-three numerical semigroup

Involve
2014 | Journal article
EID:

2-s2.0-85135635804

Part of ISSN: 19444184 19444176
Contributors: Taha, S.A.; García-Sánchez, P.A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via Scopus - Elsevier

On the Weight Hierarchy of Codes Coming From Semigroups With Two Generators

Ieee Transactions on Information Theory
2014 | Journal article
Contributors: Delgado, Manuel; Farran, Jose I.; Garcia-Sanchez, Pedro A.; Llena, David
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
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AFFINE SEMIGROUPS HAVING A UNIQUE BETTI ELEMENT

Journal of Algebra and Its Applications
2013 | Journal article
Contributors: Garcia Sanchez, P. A.; Ojeda, I.; Rosales, J. C.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
grade
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Constructing the set of complete intersection numerical semigroups with a given Frobenius number

Applicable Algebra in Engineering Communication and Computing
2013 | Journal article
Contributors: Assi, A.; Garcia-Sanchez, P. A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
grade
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FACTORIZATION INVARIANTS IN HALF-FACTORIAL AFFINE SEMIGROUPS

International Journal of Algebra and Computation
2013 | Journal article
Contributors: Garcia Sanchez, P. A.; Ojeda, I.; Sanchez-R-Navarro, A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
grade
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Huneke-Wiegand Conjecture for complete intersection numerical semigroup rings

Journal of Algebra
2013 | Journal article
Contributors: Garcia-Sanchez, P. A.; Leamer, M. J.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
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NONHOMOGENEOUS PATTERNS ON NUMERICAL SEMIGROUPS

International Journal of Algebra and Computation
2013 | Journal article
Contributors: Bras-Amoros, Maria; Garcia-Sanchez, Pedro A.; Vico-Oton, Albert
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
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On free affine semigroups

Semigroup Forum
2013 | Journal article
Contributors: J. C. Rosales; P. A. García-Sânchez
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ON THE GENERALIZED FENG-RAO NUMBERS OF NUMERICAL SEMIGROUPS GENERATED BY INTERVALS

Mathematics of Computation
2013 | Journal article
Contributors: Delgado, M.; Farran, J. I.; Garcia-Sanchez, P. A.; Llena, D.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
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Minimal presentations for monoids with the ascending chain condition on principal ideals

Semigroup Forum
2012 | Journal article
Contributors: Bullejos, M.; Garcia-Sanchez, P. A.
Source: Self-asserted source
Pedro Abelardo García-Sánchez via ResearcherID
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On the delta set and the Betti elements of a BF-monoid

Arabian Journal of Mathematics
2012 | Journal article
Contributors: S. T. Chapman; Pedro Abelardo García-Sánchez; D. Llena; A. Malyshev; D. Steinberg
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Items per page:
Page 1 of 3

Peer review (2 reviews for 2 publications/grants)

Review activity for Bulletin of the Iranian Mathematical Society. (1)
Review activity for Discrete & computational geometry. (1)