Affiliation:
1. Department of Mathematics, College of Natural and Computational Sciences, Ambo University, Ambo, Oromia, Ethiopia
Abstract
In this paper, we obtain necessary and sufficient conditions for all complete projective resolutions over a Morita ring [Formula: see text]. As special cases, we get a class of complete projective resolutions over [Formula: see text], from the ones over [Formula: see text] and [Formula: see text]. We also obtain necessary and sufficient conditions for all Gorenstein-projective modules over a Morita ring [Formula: see text]. As special cases, we get a class of Gorenstein-projective modules over [Formula: see text], from the ones over [Formula: see text] and [Formula: see text]. Furthermore, we determine all complete projective resolutions as well as all Gorenstein-projective modules over the [Formula: see text] matrix algebra [Formula: see text] over [Formula: see text].
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
5 articles.
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