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arXiv · 2002.06831

Properties of the resolution of almost Gorenstein algebras

Giuseppe Zappalà
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Abstract

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.

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Giuseppe Zappalà. 2020-02-17. Properties of the resolution of almost Gorenstein algebras. https://arxiv.org/abs/2002.06831

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