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Communications in Algebra Volume 48, 2020 - Issue 10
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Articles

Strong G-regularity and totally acyclic complexes over some tensor product rings

J. Cameron AtkinsDepartment of Mathematics, University of South Carolina, Columbia, SC, USA
&
Adela VraciuDepartment of Mathematics, University of South Carolina, Columbia, SC, USACorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-9082-135X
ORCID Icon
Pages 4249-4255 | Received 26 Mar 2020, Accepted 15 Apr 2020, Published online: 19 May 2020
 
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Abstract

We introduce the notion of strongly G-regular rings, and we observe that most rings that were known to be G-regular are in fact strongly G-regular. This property allows us to describe totally acyclic complexes over tensor product rings in which one of the factors is strongly G-regular and the other factor is Gorenstein.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

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