When the associated graded ring of a semigroup ring is Complete Intersection
Commutative Algebra
2013-01-24 v5
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 Ap\'ery 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.
Cite
@article{arxiv.1111.1294,
title = {When the associated graded ring of a semigroup ring is Complete Intersection},
author = {Marco D'Anna and Vincenzo Micale and Alessio Sammartano},
journal= {arXiv preprint arXiv:1111.1294},
year = {2013}
}
Comments
24 pages