Gorenstein modules and related modules
WebSep 3, 2024 · Model structures and relative Gorenstein flat modules and chain complexes. A recent result by J. Šaroch and J. Šťov\'ıček asserts that there is a unique abelian … Web"Gorenstein Modules and Related Modules.." Mathematica Scandinavica 31 (1972): 267-284. . @article{Foxby1972, author = {Foxby, Hans-Bjorn}, …
Gorenstein modules and related modules
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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, 2014 · A ring is left Gorenstein regular if the classes of left modules with finite projective dimension and finite injective dimension coincide and the injective and projective finitistic left...
WebThe A-modules A and C are Gorenstein projective over A C. If I is an injective A-module, then HomA(A,I) I and HomA(C,I) are Gorenstein injective over A C. Next, we introduce … 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
WebA CLASS OF GORENSTEIN ALGEBRAS AND THEIR DUALITIES WASSILIJ GNEDIN, SRIKANTH B. IYENGAR AND HENNING KRAUSE Abstract. In the recent paper “The Nakayama functor and its completion for Gorenstein algebras”, a class of Gorenstein algebras over commutative noe-therian rings was introduced, and duality theorems for …
WebJan 30, 2016 · Abstract Let A be a two-sided coherent algebra over a field k and B be a finite-dimensional algebra. If B is Gorenstein, we give a description of finitely presented Gorenstein projective modules over the tensor product of A and B in terms of their underlying modules over A and B. If B has finite global dimension, we also give another …
WebApr 11, 2024 · Download a PDF of the paper titled Relative weak global Gorenstein dimension, AB-contexts and model structures, by Driss Bennis and 3 other authors PDF … top us tennis players of all timeWebMar 15, 2024 · In this paper we are concerned with absolute, relative and Tate Tor modules. In the first part of the paper we generalize a result of Avramov and Martsinkovsky by using the Auslander—Buchweitz approximation theory, and obtain a new exact sequence connecting absolute Tor modules with relative and Tate Tor modules. In the second … top us theme parksWebWe 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 exact chain complexes with components in $\mathcal{L}$ which remain exact after tensoring by objects in $\mathcal{A} \cap {}^\perp\mathcal{A} = \mathcal{A} \cap \Big( \bigcap_{i \in … top us tv college sports marketsWebFeb 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 … top us travel destinations for couplesWebFeb 24, 2024 · Given a non-negative integer and a ring with identity, we construct an abelian model structure on the category of left -modules where the class of cofibrant objects coincides with $\GF_n (R)$ the class of left -modules with Gorenstein flat dimension less than , the class of fibrant objects coincides with the right $\Ext$ -orthogonal class of left … top us tennis players womenWebJul 12, 2013 · H. Holm, P. Jørgensen: Semi-dualizing modules and related Gorenstein homological dimensions. J. Pure Appl. Algebra 205 (2006), 423–445. Article MathSciNet MATH Google Scholar H. Holm, P. Jørgensen: Cotorsion pairs induced by duality pairs. J. Commut. Algebra 1 (2009), 621–633. Article MathSciNet MATH Google Scholar top us television showsWebModule-theoretic analogues of condition (i) above are, of necessity, also analyzed. Numerous related questions are studied. In the non-Noetherian case, an example is … top us travel destinations in april