6533b7dcfe1ef96bd1272c74
RESEARCH PRODUCT
The ideal duplication
Danny Troiasubject
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 fieldMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-06-21 |