Gorenstein modules and related modules
WebFeb 27, 2024 · In this paper, we generalize the characterization of Gorenstein flat modules over Gorenstein rings to n − FC rings (coherent rings with finite sdf−FP−injective … WebMay 27, 2004 · Semi-dualizing modules and related Gorenstein homological dimensions. Henrik Holm, Peter Jorgensen. A semi-dualizing module over a commutative noetherian …
Gorenstein modules and related modules
Did you know?
WebCohen-Macaulay modules, and are used in de ning Tate cohomology, cf.Avramov and Martsinkovsky [6] for a recent account and related problems. The properties and uses of complete resolutions have been studied extensively. More recently, the failure of acyclic complexes of free modules to be totally acyclic is studied by WebAug 14, 2024 · Let Λ be an algebra of finite Cohen-Macaulay type and Γ its Cohen-Macaulay Auslander algebra. We are going to characterize the morphism category Mor(Λ-Gproj) of Gorenstein-projective Λ-modules in terms of the module category Γ-mod by a categorical equivalence. Based on this, we obtain that some factor category of the epimorphism …
WebJan 1, 2011 · Along the same lines, Gorenstein injective modules were introduced in [7]. Since then, various generalizations of these modules are given over specific rings (see, e.g., [9,10,12,22]). In Section 2 of this paper, we define and study W-Gorenstein modules for a self-orthogonal class W of left R-modules. WebAug 1, 2008 · In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M is called Gorenstein FP-injective if there is an exact sequence ⋯ → E1 → E0 → E0 → E1 → ⋯ of injective R-modules with M = ker(E0 → E1) and such that Hom(E, -) leaves the sequence exact whenever E is an FP-injective R-module. Some properties of …
WebFeb 24, 2024 · Model structures, n-Gorenstein flat modules and PGF dimensions. Rachid El Maaouy. Given a non-negative integer and a ring with identity, we construct an abelian … WebJan 1, 2010 · Abstract. Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein homological dimensions for modules over commutative rings. The …
Webartinian rings, this is the same as having all modules (finitely gen-erated!) reflexive and for Krull dimension one, that torsion-less modules are reflexive. Thus, at least at these low dimensions the Gorenstein property and reflexivity are closely related. Received by the editors August 7, 1967.
WebGorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing Modules Full-text available Article Mar 2014 Jiangsheng hu Dongdong Zhang Nanqing Ding View Show abstract The homological... how many times have wales won the world cupWebModule-theoretic analogues of condition (i) above are, of necessity, also analyzed. Numerous related questions are studied. In the non-Noetherian case, an example is … how many times have the yankees been to a wshttp://web.math.ku.dk/~holm/download/Semi-dualizing_modules_and_related_Gorenstein_homological_dimensions.pdf how many times have wba won the fa cupWebMar 22, 2024 · Gorenstein. -flat modules and weak global dimensions. Víctor Becerril. In this paper we characterize the relative Gorenstein weak global dimension of the … how many times have the yankees cheatedWebWe study homological and homotopical aspects of Gorenstein flat modules over a ring with respect to a duality pair $(\mathcal{L,A})$. These modules are defined as cycles of … how many times have tottenham been relegatedWebDec 12, 2003 · The Gorenstein projective modules are proved to form a precovering class in the module category of a ring which has a dualizing complex. ... the closely related Gorenstein projective, Gorenstein … Expand. 23. PDF. Save. Alert. Tate cohomology over fairly general rings. Peter Jørgensen; Mathematics. 2004; Tate cohomology was … how many times have we been to the moon usaWebAug 1, 2024 · Assume is a complete duality pair. Let R-Mod denote the category of R-modules. (1) There is a cofibrantly generated abelian model structure on R-Mod in which every object is cofibrant and the fibrant objects are the Gorenstein -injective modules. The trivially fibrant objects are the categorically injective modules. how many times have we fight