Topics on $2$-almost Gorenstein rings

Shiro Goto; Naoki Taniguchi

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arXiv · 1704.01278

Topics on $2$-almost Gorenstein rings

Shiro Goto·Naoki Taniguchi

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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.

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Shiro Goto, Naoki Taniguchi. 2017-04-05. Topics on $2$-almost Gorenstein rings. https://arxiv.org/abs/1704.01278

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