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

Autor:	D'Anna, Marco, Micale, Vincenzo, Sammartano, Alessio
Rok vydání:	2011
Předmět:	Mathematics - Commutative Algebra 13A30 13H10
Zdroj:	Journal of Pure and Applied Algebra, Volume 217, Issue 6, 2013, 1007-1017
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jpaa.2012.09.024
Popis:	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. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1111.1294 Zobrazit plný text záznamu View this record from Arxiv