Gorenstein global dimension of an amalgamated duplication of a coherent ring along an ideal
Najib Mahdou, Mohammed Tamekkante
TL;DR
This paper investigates the Gorenstein global dimension of a specific ring construction called amalgamated duplication, focusing on coherent rings along a regular principal ideal, to understand its homological properties.
Contribution
It provides new insights into the Gorenstein global dimension of amalgamated duplications of coherent rings along regular principal ideals.
Findings
Determined the Gorenstein global dimension for this class of rings.
Established conditions under which the dimension is finite.
Extended known results to a broader class of ring constructions.
Abstract
In this paper, we study the Gorenstein global dimension of an \emph{amalgamated duplication} of a coherent ring along a regular principal ideal.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Advanced Topics in Algebra