Tilting and cotilting theory has its origin in the context of finitely generated modules over finite dimensional algebras. The theory studied equivalences between subcategories of module categories over two algebras and was in essence a generalization of Morita Theory. WebIn §2 and §3, we studyinfinitely generated tilting and cotilting modules, and characterize the induced tilt-ing and cotilting cotorsion pairs. §4 deals with tilting classes of finite type andcotilting classes of cofinite type, and with their classification over particular rings.Finally, §5 relates tilting approximations to the first ...
Collating - definition of collating by The Free Dictionary
WebTilting–Cotilting Correspondence International Mathematics Research Notices Oxford Academic. Abstract. To a big $n$-tilting object in a complete, cocomplete abelian … WebJan 20, 2011 · Monomorphism categories, cotilting theory, and Gorenstein-projective modules. 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 , there is a … punching drills
(PDF) Tilting Preenvelopes and Cotilting Precovers in General …
WebApr 15, 2024 · On tilting and cotilting modules. Let A be an Artin algebra and assume all modules are basic, then a classical result says that tilting modules T are in bijection with … 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 ... WebMay 25, 2010 · 13 - Cotilting dualities Published online by Cambridge University Press: 25 May 2010 By Riccardo Colpi and Kent R. Fuller Edited by Lidia Angeleri Hügel , Dieter Happel and Henning Krause Chapter Get access Summary A summary is not available for this content so a preview has been provided. second chance cyber