On Gorenstein Flat Modules

By Zhao Ying-cai. 2007

194 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/57123264c2880f2cf9efb879821256cc6ff3394f

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Citations in the corpus

Cotorsion pairs and model categories (2007, background): “…between m odel categories,a structure invented by algebraic topologists thatallows one to introducetheideasofhom otopy theory to situationsfarrem oved from topologicalspaces,and cotorsion pairs,an algebraic notion thatsim ultaneously generalizesthe notion ofprojective and injective objects.”
Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions (2008, background): “The notion of Gorenstein flat modules was introduced and studied over Gorenstein rings by Enochs et al. (1993), as a generalization of the notion of flat modules in the sense that an R-module is flat if and only if it is Gorenstein flat with finite flat dimension.1 Chen and Ding (1996) generalized…”
STRONGLY GORENSTEIN FLAT MODULES (2009, unknown): “A right R-module N is called Gorenstein flat [15] if there is an exact sequence · · · → F1→ F0→ F0→ F1→ · · · of flat right R-modules with N = ker(F0→ F1) such that −⊗ E leaves the sequence exact whenever E is an injective left R-module.”
Ascent Properties of Auslander Categories (2005, background): “[23] E. E. Enochs, O. M. G. Jenda, and B. Torrecillas, Gorenstein flat modules.”
Gorenstein Homological Algebra of Artin Algebras (2017, background): “It is contained in [14, Theorem 5], while its first part is contained in [27].”
Beyond totally reflexive modules and back (2008, background): “Another extension of the G-dimension is based on Gorenstein flat modules— a notion due to Enochs, Jenda, and Torrecillas [47].”