Gorenstein Von Neumann regular rings
Najib Mahdou, Mohammed Tamekkante, Siamak Yassemi
TL;DR
This paper introduces Gorenstein Von Neumann regular rings, a class of rings characterized by having zero Gorenstein weak dimension, expanding the understanding of Gorenstein homological properties in ring theory.
Contribution
It defines and investigates the properties of Gorenstein Von Neumann regular rings, a new class of rings with specific Gorenstein homological dimensions.
Findings
Gorenstein Von Neumann regular rings have zero Gorenstein weak dimension.
These rings generalize classical Von Neumann regular rings within Gorenstein homological context.
The paper establishes foundational properties of this new class of rings.
Abstract
In this paper, we study the rings with zero Gorenstein weak dimensions, which we call them Gorenstein Von Neumann regular rings.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Rings, Modules, and Algebras