Stability of projectively coresolved Gorenstein flat modules
Dimitra-Dionysia Stergiopoulou
TL;DR
This paper proves the stability of projectively coresolved Gorenstein flat modules under a specific Gorenstein process and introduces a new way to characterize their dimension.
Contribution
It establishes the stability of these modules and provides a novel characterization of their Gorenstein flat dimension.
Findings
Stability of projectively coresolved Gorenstein flat modules proven.
New characterization of Gorenstein flat dimension introduced.
Abstract
The stability of the class of projectively coresolved Gorenstein flat modules, under the very Gorenstein process used to define them, is proven in this paper. Moreover, a new characterization of the projectively coresolved Gorenstein flat dimension is given.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Algebraic Geometry and Number Theory