A generalization of strongly Gorenstein projective modules
Driss Bennis, Najib Mahdou
TL;DR
This paper introduces a generalized concept of strongly Gorenstein projective modules, explores their properties, and examines how they behave under ring changes, with examples over non-Noetherian rings.
Contribution
It extends the theory of Gorenstein projective modules by defining a new subclass and analyzing their behavior across different rings, including non-Noetherian cases.
Findings
Defined a new class of Gorenstein projective modules.
Studied change of rings results for these modules.
Provided examples over non-Noetherian rings.
Abstract
This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437--445. Namely, we define and study a particular case of Gorenstein projective modules. We investigate some change of rings results for this new kind of modules. Examples over not necessarily Noetherian rings are given.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Commutative Algebra and Its Applications