All modules have Gorenstein flat precovers
Gang Yang, Li Liang
TL;DR
This paper proves that every module over a ring has a Gorenstein flat precover, extending the known result for flat precovers to the Gorenstein flat case.
Contribution
The paper establishes that all modules possess Gorenstein flat precovers, a significant generalization of existing flat precover results.
Findings
Every module has a Gorenstein flat precover.
Extension of flat precover theory to Gorenstein flat modules.
Advancement in Gorenstein homological algebra.
Abstract
It is known that every -module has a flat precover. We show in the paper that every -module has a Gorenstein flat precover.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology