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 is an element of 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. (C) 2021 Elsevier B.V. All rights reserved.

Properties of the resolutions of almost Gorenstein algebras

G. Zappala'
Writing – Original Draft Preparation
2022

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 is an element of 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. (C) 2021 Elsevier B.V. All rights reserved.
Resolution
Graded Betti numbers
Gorenstein ring
Almost complete intersection
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/542142
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