On Nearly Gorenstein Simplicial Semigroup Algebras

2023/10/01 by Srivastava, Pranjal
#13P10 #20M25 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13H10

paper · doi:10.48550/arxiv.2310.00619

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.

Related

• Almost Gorenstein simplicial semigroup rings
• On nearly Gorenstein affine semigroups
• Projective Closure of Semigroup Algebras
• Lefschetz Properties of Gorenstein Graded Algebras associated to the Apéry Set of a Numerical Semigroup
• On the Associated Graded ring of Semigroup Algebras