Topics on $2$-almost Gorenstein rings

Shiro Goto; Naoki Taniguchi

Topics on $2$-almost Gorenstein rings

Commutative Algebra 2017-04-06 v1

Authors: Shiro Goto , Naoki Taniguchi

Abstract

The notion of $2$ -almost Gorenstein ring is a generalization of the notion of almost Gorenstein ring in terms of Sally modules of canonical ideals. In this paper, we deal with two different topics related to $2$ -almost Gorenstein rings. The purposes are to determine all the Ulrich ideals in $2$ -almost Gorenstein rings and to clarify the structure of minimal free resolutions of $2$ -almost Gorenstein rings.

Keywords

gorenstein rings and modules

Cite

@article{arxiv.1704.01278,
  title  = {Topics on $2$-almost Gorenstein rings},
  author = {Shiro Goto and Naoki Taniguchi},
  journal= {arXiv preprint arXiv:1704.01278},
  year   = {2017}
}

Comments

12 pages

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