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
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