Contracting Endomorphisms and Gorenstein Modules
Hamid Rahmati
TL;DR
This paper characterizes Gorenstein modules over local rings that possess a finite contracting endomorphism, providing insights into their structure and properties.
Contribution
It introduces a new characterization of Gorenstein modules specifically over local rings with finite contracting endomorphisms.
Findings
Gorenstein modules are characterized in the context of finite contracting endomorphisms.
The paper provides criteria for Gorenstein modules over such rings.
New connections between endomorphisms and Gorenstein properties are established.
Abstract
We characterize Gorenstein modules over those local rings that admit a finite contracting endomorphism.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons