site stats

Cotilting module

WebEnter the email address you signed up with and we'll email you a reset link. WebDec 2, 2009 · Some examples and characterizations of Tor-tilting modules are given.Among others, it is shown that U R is Tor-tilting if and only if U + is cotilting. Moreover, both tilting modules and completely faithful flat modules are proved to be Tor-tilting.The torsion theory induced by a Tor-tilting module is also investigated.

Cotilting and tilting modules over Prüfer domains

WebOct 1, 2014 · Let R be a ring and C be a big cotilting R-module. Then (D C ≤ 0, D C ≥ 0) from Notation 4.3 is a t-structure on the derived category D (R). Remark 4.6. For R … WebApr 1, 2001 · Dualizing a result of Bongartz, we show that a module P is partial cotilting iff P is a direct summand of a cotilting module C such that the left Ext-orthogonal class ⊥P … paimon reddit https://salermoinsuranceagency.com

TILTING AND COTILTING MODULES OVER CONCEALED …

WebJan 1, 1993 · Let T be an F-cotilting module. We show that ⊥ T is an F -resolving functorially finite subcat- egory of mod Λ with ⊥ T -resdim F (mod Λ) finite, which is also true for standard cotilting ... WebMay 20, 2024 · Tilting theory is one of the main themes in the study of the representation theory of algebras. Given a tilting module over a hereditary algebra, its endomorphism algebra is called a tilted algebra. For brevity, we refer the reader to [ 1] for relevant definitions. In this paper, we give a necessary and sufficient condition for an Auslander ... WebJul 1, 2024 · One can also consider the dual notion of cotilting modules. Tilting theory goes back to the work of I.N. Bernshtein, I.M. Gel'fand and V.A. Ponomarev on the characterization of representation-finite hereditary algebras through their ordinary quivers … paimon razor chair

Generalizations of n-Tilting and n-Cotilting Modules

Category:ROMÂNIA UNIVERSITATEA BABE -BOLYAI CLUJ-NAPOCA …

Tags:Cotilting module

Cotilting module

(PDF) Relative Homology and Representation Theory III

WebTILTING, COTILTING, AND SPECTRA OF NOETHERIAN RINGS 3491 Proof. This is easily obtained fromLemma 1.4(i) by induction on .Wealsouse the fact that Ass j(P) ⊆ Ass j(R) for any j ∈ Z and any projective module P. We finish by recalling a well-known property of the residue field considered as anR-module(seee.g.[23,Theorem18.4]),anditsconsequences: Webd of the family of finite A-module complexes with fixed sequence d of dimensions and an “almost projective” complex X ∈ CompA d, there exists a canonical vector space embedding TX(Comp A d)/TX(G.X) −→ HomDb(A-Mod) (X,X[1]), where G is the pertinent product of general linear groups acting on CompA d, tangent spaces

Cotilting module

Did you know?

WebMar 9, 2024 · cosilting module over an artin algebra R, then T is a cotilting mo dule over a factor a lgebra of R. The paper is org anized as follows. In Section 2, we recall some basic no tions and results. WebJun 30, 2024 · To this end, we introduce the concepts of n -silting and n -cosilting modules in this paper, which not only generalize n -tilting and n -cotilting modules, but also …

WebSep 22, 2024 · It is shown that W is a weak silting module if and only if its character module W+ is cosilting. Some properties of weak silting modules are given. ... cotilting, and serially tilted rings. Comm Algebra, 1990, 18(5): 1585–1615. Article MathSciNet MATH Google Scholar Colpi R, Menini C. On the structure of *-modules. J Algebra, 1993, 158: … WebNov 29, 1999 · about the module category modAand the Auslander-Reiten translations˝ A=DTr and ˝ 1 A =TrD,asin[5],[9]. An A-module T is called a tilting (or cotilting) module if pdT A 1(or idT A 1, respectively), Ext1 A (T;T) = 0 and the number of isomorphism classes of indecomposable summands of Tequals the number of points in Q A. Given a tilting …

WebEmploying the theory developed by Enochs on the existence of Gorenstein preenvelopes and precovers, we introduce the concept of Gorenstein tilting pair. Moreover, we give a simple characterization on Gorenstein tilting pair, which shows that Gorenstein cotilting and tilting modules are special examples of Gorenstein tilting pair. WebMay 1, 2010 · Abstract. In this paper we study cotorsion and torsion pairs induced by cotilting modules. We prove the existence of a strong relationship between the Σ-pure-injectivity of the cotilting module ...

Webstratified algebras for which the characteristic tilting and cotilting modules coincide ...

WebThis CPT Modifier Decision Grid Tool will help you to: Decide which family of modifiers your should be using. Help you understand how reimbursement is affected by applying certain … ウェブシューター 仕組みWebAug 12, 2009 · Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings - March 2004 Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. ウェブショップ 類語WebNov 20, 2007 · We give a characterization of cotilting modules over Prüfer domains, up to equivalence; moreover we show that tilting modules over Prüfer domains are of … ウェブステーションログイン