The stable module category of a general ring
WebAug 15, 2016 · Having an issue? Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after … WebMay 22, 2014 · The stable module category of a general ring D. Bravo, James Gillespie, Mark Hovey Published 22 May 2014 Mathematics arXiv: Rings and Algebras For any ring …
The stable module category of a general ring
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WebThe stable module category of a general ring (arXiv:1405.5768). [Google Scholar]], showing that they are the fibrant objects of a cofibrantly generated model structure on 풢. … WebSep 23, 2024 · In representation theory, the stable module category is a category in which projectives are factored out. Let R be a ring. For two modules M and N, define H o m ( M , N ) to be the set of Rlinear maps from M to N modulo the relation that fg if fg factors through a projective module. The s
WebThe stable module category of a finite group G over a field k is a basic object of study in modular representation theory; it is a triangulated cate-gory because injective and projective k[G]-modules coincide. Cotorsion pairs can be used to construct two different model structures on the category of WebMar 16, 2024 · the stable module category for groups of type Φ, as the largest quotient of the category of modules on which the syzygy functor is invertible [35]. This category is equipped with a triangulated structure compatible with the tensor product over the ground ring. In other words, it is a tensor triangulated category in the language of Balmer [2].
WebIn , abelian model categories were used to introduce the stable module category of a general ring. And in [ 5 , 31 ], there appeared an elegant connection between abelian model categories and recollements of triangulated categories. WebOne important property of the stable module category is it allows defining the Ω functor for general rings. When Ris perfect(or Mis finitely generatedand Ris semiperfect), then Ω(M) …
WebOur stable module categories are homotopy categories of Quillen model structures on the category of R-modules. These model categories involve generalizations of Gorenstein …
Webin some cases their stable (graded) module categories are recovering D(R), the derived category of the ring R. 2.Preliminaries Throughout the paper R denotes a general ring with identity. We will work with both left and right R-modules. But we will favor the left, so that R-module will mean left R-module, unless stated otherwise. holes in stainless steel sinkWebJun 26, 2015 · Let $\underline{\text{mod-}R}$ be the stable module category, with the... Stack Exchange Network Stack Exchange network consists of 181 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. hole simWebhomotopy category of all chain complexes of injective R-modules, is a compactly generated triangulated category whenever R is a coherent ring [Sto14]. In [BGH13], abelian model categories were used to introduce the stable module category of a general ring. And in [Bec14, Gil12], there appeared an elegant connection between hole russiaWebequivalences between module categories in terms of bimodules, see e.g. [1, Thm. 22.1]. In The-orem 4.1.2 we present an analogous result which explains how a chain of Quillen … holes to heaven jack johnson lyricsWebGivenan E∞-ring spectrum R, a general theme is that the Picard group will be easier to understand if the homotopy groups of Rare homologically simple. ... TORUS ACTIONS ON STABLE MODULE CATEGORIES, PICARD GROUPS, AND LOCALIZING SUBCATEGORIES3 Theorem 1.3. If Gis an abelian p-group of rank n, then one can construct an action of the n … holes rotten tomatoesWebJun 1, 2024 · The stable module category of a general ring Kenneth S. Brown Homological criteria for finiteness Comment. Math. Helv. (1975) Kenneth S. Brown Cohomology of Groups (1994) Jianlong Chen et al. On n -coherent rings Commun. Algebra (1996) D.L. Costa Parameterizing families of non-Noetherian rings Commun. Algebra (1994) David E. Dobbs … holes in floor joistWebMay 22, 2014 · Title:The stable module category of a general ring Authors:Daniel Bravo, James Gillespie, Mark Hovey (Submitted on 22 May 2014) Abstract:For any ring R we … holes villains wiki