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arXiv · 1905.04048

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

Claus Michael Ringel·Pu Zhang
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Abstract

Let k be a field and q a non-zero element of k. In Part I, we have exhibited a 6-dimensional k-algebra A = A(q) and we have shown that if q has infinite multiplicative order, then A 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 A-modules for this particular algebra A. 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.

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BibTeXRIS

Claus Michael Ringel, Pu Zhang. 2019-05-10. Gorenstein-projective and semi-Gorenstein-projective modules. II. https://arxiv.org/abs/1905.04048

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