Factorizations in numerical semigroup algebras
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DOI: 10.1016/j.jpaa.2018.09.010
Abstract: Abstract We study a numerical semigroup ring as an algebra over another numerical semigroup ring. The complete intersection property of numerical semigroup algebras is investigated using factorizations of monomials into minimal ones. The goal is… read more here.
Keywords: semigroup; semigroup algebras; numerical semigroup; factorizations numerical ... See more keywords
Supersymmetric gaps of a numerical semigroup with two generators
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DOI: 10.1080/00927872.2022.2058521
Abstract: In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries of the gaps of the semigroup with respect… read more here.
Keywords: gaps numerical; supersymmetric gaps; semigroup two; two generators ... See more keywords
Counting the Ideals with a Given Genus of a Numerical Semigroup with Multiplicity Two
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DOI: 10.3390/sym13050794
Abstract: Let S and T be two numerical semigroups. We say that T is an I(S)-semigroup if T∖{0} is an ideal of S. Given k a positive integer, we denote by Δ(k) the symmetric numerical semigroup… read more here.
Keywords: given genus; semigroup; genus numerical; numerical semigroup ... See more keywords