10.1016/j.jpaa.2019.106248

Gorenstein-projective and semi-Gorenstein-projective modules. II

Abstract

Ringel CM, Zhang P. Gorenstein-projective and semi-Gorenstein-projective modules. II. JOURNAL OF PURE AND APPLIED ALGEBRA. 2020;224(6): UNSP 106248.Let k be a field and q a non-zero element of k. In Part I, we have exhibited a 6-dimensional k-algebra Lambda = Lambda(q) and we have shown that if q has infinite multiplicative order, then Lambda has a 3-dimensional local module which is semi-Gorenstein-projective, but not torsionless, thus not Gorenstein-projective. This Part II is devoted to a detailed study of all the 3-dimensional local Lambda-modules for this particular algebra Lambda. If q has infinite multiplicative order, we will encounter a whole family of 3-dimensional local modules which are semi-Gorenstein-projective, but not torsionless. (C) 2019 Elsevier B.V. All rights reserved

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oai:pub.uni-bielefeld.de:2941604Last time updated on 3/16/2020

This paper was published in Publications at Bielefeld University.

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