When the associated graded ring of a semigroup ring is Complete Intersection

Abstract

Let (R, m) be the semigroup ring associated to a numerical semigroup S. In this paper we study the property of its associated graded ring G(m) to be Complete Intersection. In particular, we introduce and characterise beta-rectangular and gamma-rectangular Apéry sets, which will be the fundamental concepts of the paper and will provide, respectively, a sufficient condition and a characterisation for G(m) to be Complete Intersection. Then we use these notions to give four equivalent conditions for G(m) in order to be Complete Intersection.

24 pages

References in corpus (2)

• On the associated graded ring of a semigroup ring
• On plane algebroid curves

Cited by in corpus (13)

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• The Apéry Set of a Good Semigroup
• On the multiplicity of tangent cones of monomial curves
• Factorizations in Numerical Semigroup Algebras
• On the Apery sets of monomial curves