Properties of the resolution of almost Gorenstein algebras

Autor:	Zappalà, Giuseppe
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra 13H10
Druh dokumentu:	Working Paper
Popis:	We study properties of the resolution of almost Gorenstein artinian algebras $R/I,$ i.e. algebras defined by ideals $I$ such that $I=J+(f),$ with $J$ Gorenstein ideal and $f\in R.$ Such algebras generalize the well known almost complete intersection artinian algebras. Then we give a new explicit description of the resolution and of the graded Betti numbers of almost complete intersection ideals of codimension $3$ and we characterize the ideals whose graded Betti numbers can be achieved using artinian monomial ideals. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.06831 Zobrazit plný text záznamu View this record from Arxiv