Pseudo-Frobenius numbers versus defining ideals in numerical semigroup rings

The structure of the defining ideal of the semigroup ring k[H] of a numerical semigroup H over a field k is described, when the pseudo-Frobenius numbers of H are multiples of a fixed integer.

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Bibliographic Details
Published inJournal of algebra Vol. 508; pp. 1 - 15
Main Authors Goto, Shiro, Kien, Do Van, Matsuoka, Naoyuki, Le Truong, Hoang
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.08.2018
Subjects
Almost Gorenstein ring
Canonical module
Cohen–Macaulay ring
Gorenstein ring
Minimal free resolution
Numerical semigroup
Pseudo-Frobenius number
Gorenstein ring
Almost Gorenstein ring
Minimal free resolution
Numerical semigroup
Pseudo-Frobenius number
Cohen–Macaulay ring
13A02
13C05
Canonical module
13D02
13H10
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Summary:The structure of the defining ideal of the semigroup ring k[H] of a numerical semigroup H over a field k is described, when the pseudo-Frobenius numbers of H are multiples of a fixed integer.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2018.04.025