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Tangent cones of numerical semigroup rings

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5 Citations (Web of Science)

Abstract

In this paper we describe the structure of the tangent cone of a numerical semigroup ring A = k[[S]] subset of k[[t]] with multiplicity epsilon (as a module over the Noether normalization determined by the fiber cone of the ideal generated by t(e)) in terms of some classical invariants of the corresponding numerical semigroup. Explicit computations are also made by using the GAP system.
Original languageEnglish
Title of host publicationCombinatorial Aspects Of Commutative Algebra
EditorsV Ene, E Miller
PublisherAmer Mathematical Soc
Pages45-58
Number of pages14
Volume502
ISBN (Print)978-0-8218-4758-9
Publication statusPublished - 2009
Externally publishedYes
EventWorkshop on Combinatorial Commutative Algebra and Computer Algebra - Mangalia, Romania
Duration: 29 May 200831 May 2008

Publication series

NameContemporary Mathematics

Conference

ConferenceWorkshop on Combinatorial Commutative Algebra and Computer Algebra
Country/TerritoryRomania
CityMangalia
Period29/05/0831/05/08

Keywords

  • Commutative algebra
  • Fiber cone
  • Numerical semigroup ring

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