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A formula for the conductor of a semimodule of a numerical semigroup with two generators

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dc.contributor.authorAlmirón, Patricio
dc.contributor.authorMoyano Fernández, Julio-José
dc.date.accessioned2023-06-17T08:28:40Z
dc.date.available2023-06-17T08:28:40Z
dc.date.issued2021-03-30
dc.description.abstractWe provide an expression for the conductor c(Δ) of a semimodule Δ of a numerical semigroup Δ with two generators in terms of the syzygy module of Δ and the generators of the semigroup. In particular, we deduce that the difference between the conductor of the semimodule and the conductor of the semigroup is an element of Γ, as well as a formula for c(Δ) in terms of the dual semimodule of Δ.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedFALSE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipUniversitat Jaume I
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/73962
dc.identifier.doi10.1007/s00233-021-10182-1
dc.identifier.issn0037-1912
dc.identifier.officialurlhttps://link.springer.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/7237
dc.journal.titleSemigroup forum
dc.language.isoeng
dc.page.final285
dc.page.initial278
dc.publisherSpringer
dc.relation.projectIDMTM2016-76868-C2-1-P ;PGC2018-096446-B-C22
dc.relation.projectIDUJI-B2018-10
dc.rights.accessRightsopen access
dc.subject.cdu512
dc.subject.cdu512.53
dc.subject.keywordNumerical semigroup
dc.subject.keywordFrobenius problem
dc.subject.keywordΓ-semimodule
dc.subject.keywordSyzygy.
dc.subject.ucmÁlgebra
dc.subject.ucmGrupos (Matemáticas)
dc.subject.unesco1201 Álgebra
dc.titleA formula for the conductor of a semimodule of a numerical semigroup with two generators
dc.typejournal article
dc.volume.number103
dcterms.references1. A. Brauer, J.E. Shockley, On a problem of Frobenius, J. reine und angewandte Math. 211 (1962), 215–220. 2. F. Curtis, On formulas for the Frobenius number of a numerical semigroup, Math. Scand. 67, no. 2 (1990), 190–192. 3. J.J. Moyano-Fernández, J. Uliczka, Hilbert depth of graded modules over polynomial rings in two variables, J. Algebra 373 (2013), 130–152. 4. J.J. Moyano-Fernández, J. Uliczka, Lattice paths with given number of turns and numerical semi-groups, Sem. Forum 88, no. 3, (2014), 631–646. 5. J.J. Moyano-Fernández, J. Uliczka, Duality and syzygies for semimodules over numerical semigroups, Sem. Forum 92, no. 3, (2016), 675–690. 6. J. L. Ramírez Alfonsín, The Diophantine Frobenius problem, Oxford Lecture Series in Mathematics and its Applications 30, Oxford University Press, Oxford (2005) 7. J. C. Rosales, P. A. García Sánchez, Numerical Semigroups, Springer, New York (2009).
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