Contravariantly finite subcategory
WebJun 20, 2024 · Model categories structures from rigid objects in exact categories. Lucie Jacquet-Malo. Let be a weakly idempotent complete exact category with enough injective and projective objects. Assume that is a rigid, contravariantly finite subcategory of containing all the injective and projective objects, and stable under taking direct sums … WebOct 26, 2024 · In § 3, we mainly study several kinds of subcategories relative to a self-orthogonal subcategory $\omega$. The first one is the subcategory $\widehat {\omega }$ such that each object in it admits a finite $\omega$-resolution. The second one is the subcategory ${{}_\omega \mathcal {X}}$ such that each object in it admits a proper …
Contravariantly finite subcategory
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WebOct 6, 2024 · Different exact structures on the monomorphism categories. Let be a resolving and contravariantly finite subcategory of , the category of finitely generated right -modules. We associate to the subcategory of the morphism category consisting of all monomorphisms with and in . Since is closed under extensions then it inherits naturally … WebJun 1, 2024 · The subcategory X is said to be contravariantly finite in C, if every object in C has a right X-approximation. A left X-approximation and a covariantly finite subcategory of C are dually defined. A contravariantly and covariantly finite subcategory is called functorially finite. For more details, see [1]. The following definition is due to ...
WebDefinition. A full subcategory sA of a category A$ is said to be (i) contravariantly finite in Se if for each object X in A§, the repre-sentaba functor s( , X) restricted to sA is finitely … WebJan 27, 2024 · First of all, we give some basic results about how a contravariantly (covariantly) finite subcategory of finite dimension induces lower (upper) recollement. In what follows, subcategories of \({\mathscr {A}}\) are always assumed to be full additive …
WebCONTRAVARIANTLY FINITE SUBCATEGORIES CLOSED UNDER PREDECESSORS IBRAHIM ASSEM, FLAVIO U. COELHO, AND SONIA TREPODE´ Abstract. Let A be an … WebLet ΛΛ\Lambdaroman_Λ be an artin algebra. We denote by mod ΛΛ\Lambdaroman_Λ the category of all finitely generated right ΛΛ\Lambdaroman_Λ-modules and by ind ΛΛ\Lambdaro
WebNov 17, 2024 · We characterize the situation in which the process of strongly tilting -mod allows for arbitrary iteration: This occurs precisely when, in the strongly tilted module category mod-, the subcategory of modules of finite projective dimension is in turn contravariantly finite; the latter can, once again, be tested on suitable corners of the ...
WebMay 1, 2014 · The main objective of this paper is to study the relative derived categories from various points of view. Let A be an abelian category and C be a contravariantly finite subcategory of A.One can define C-relative derived category of A, denoted by D C ⁎ (A).The interesting case for us is when A has enough projective objects and C = GP-A is … taco bell menu in lakewood ohioWebMay 10, 2024 · Later I learned that inversion in the Brauer group of a field is based on the opposite ring: for an equivalence class of (finite-dimensional) central simple algebras … taco bell menu in traverse city miWebAug 15, 2009 · As a consequence of this theorem (and [11]), we get a family of examples of contravariantly finite subcategories: if C is closed under predecessors and addC is an … taco bell menu items waynesboro vaWebMar 24, 2024 · A functor is called contravariant if it reverses the directions of arrows, i.e., every arrow is mapped to an arrow . Covariant Functor, Functor , Hom. This entry … taco bell menu lexington scWebJan 1, 2000 · Let C be an abelian or exact category with enough projectives and let P be the full subcategory of projective objects of C . We consider the stable category C/P modulo projectives, as a left triangulated category [14], [36]. Then there is a triangulated category S(C/P) associated to C/P, which is universal in the following sense. There exists an exact … taco bell menu madison wiWebJan 20, 2011 · Monomorphism categories, cotilting theory, and Gorenstein-projective modules. Pu Zhang. The monomorphism category is introduced, where is a full subcategory of the module category -mod of Artin algebra . The key result is a reciprocity of the monomorphism operator and the left perpendicular operator : for a cotilting -module , … taco bell menu lakewood coWebOct 1, 2008 · The (full) subcategory of ((R-mod) op, Ab) of flat functors is denoted by Flat((R-mod) op, Ab). Because the Y oneda functor is an equivalence between R-mod … taco bell menu huntley il