Search results for "Nearly Gorenstein semigroups"

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The ideal duplication

2021

AbstractIn this paper we present and study the ideal duplication, a new construction within the class of the relative ideals of a numerical semigroup S, that, under specific assumptions, produces a relative ideal of the numerical duplication $$S\bowtie ^b E$$ S ⋈ b E . We prove that every relative ideal of the numerical duplication can be uniquely written as the ideal duplication of two relative ideals of S; this allows us to better understand how the basic operations of the class of the relative ideals of $$S\bowtie ^b E$$ S ⋈ b E work. In particular, we characterize the ideals E such that $$S\bowtie ^b E$$ S ⋈ b E is nearly Gorenstein.

Class (set theory)Pure mathematicsAlgebra and Number TheoryIdeal (set theory)Nearly Gorenstein semigroups010102 general mathematics0102 computer and information sciences01 natural sciencesNearly Gorenstein semigroups Numerical duplication Relative ideal Canonical idealSettore MAT/02 - Algebra010201 computation theory & mathematicsNumerical semigroupNumerical duplicationRelative idealCanonical ideal0101 mathematicsAlgebra over a fieldMathematics
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