When an amalgamated duplication of a ring along an ideal is quasi-Frobenius
Najib Mahdou, Mohamed Tamekkante
TL;DR
This paper characterizes when an amalgamated duplication of a ring along an ideal is quasi-Frobenius, providing insights into the structure of such rings and their properties.
Contribution
It offers a new characterization of quasi-Frobenius properties in amalgamated ring duplications along ideals.
Findings
Identifies conditions for $R\bowtie I$ to be quasi-Frobenius.
Provides structural insights into ring duplications along ideals.
Enhances understanding of quasi-Frobenius rings in algebraic theory.
Abstract
In this paper, we characterize an amalgamated duplication of a ring along a proper ideal , , which is quasi-Frobenius.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models