On Nearly Gorenstein Simplicial Semigroup Algebras
Pranjal Srivastava
TL;DR
This paper investigates the nearly Gorenstein property in simplicial semigroup algebras, focusing on projective closures, associated graded rings, and the effects of gluing numerical semigroups, providing new insights into their algebraic structure.
Contribution
It introduces new results on the nearly Gorenstein property for simplicial affine semigroups and addresses a question about gluing numerical semigroups.
Findings
Characterization of nearly Gorenstein projective closures
Analysis of the property in associated graded rings
Results on gluing of numerical semigroups
Abstract
In this paper, we study the nearly Gorenstein projective closure of numerical semigroups. We also studied the nealy Gorenstein property of associated graded ring of simplicial affine semigroups. Moreover, in case of gluing of numerical semigroups, we answer the question posed by Herzog-Hibi-Stamate.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory