WebOct 25, 2024 · On the other hand, ideal approximation theory, that is a gentle generalization of the classical approximation theory and deals with morphisms and ideals instead of objects and subcategories, is an active area that has been the subject of several researches. Our aim in this paper is to introduce the so-called `ideal approximation theory' into ... WebNov 12, 2024 · Wuzhong Yang, Panyue Zhou, Bin Zhu. Let $\C$ be a triangulated category with a cluster tilting subcategory $\T$ . We introduce the notion of $\T [1]$ -cluster …
nZ-Gorenstein cluster tilting subcategories - ScienceDirect
WebJan 15, 2011 · Abstract. The concept of cluster tilting gives a higher analogue of classical Auslander correspondence between representation-finite algebras and Auslander algebras. The n -Auslander–Reiten translation functor τ n plays an important role in the study of n -cluster tilting subcategories. We study the category M n of preinjective-like … Webthis we introduce cluster tilting subcategories of left triangulated categories, and we show that there is a correspondence between cluster tilting subcategories of Eand .Wealso … cooler bag made in usa
Cluster tilting subcategories and torsion pairs in …
WebAug 2, 2012 · Suppose that X is a cluster tilting subcategory of C and A is the abelian quotient category C /X . Then: (1) The category A has enough projective objects and enough injective objects. (2) Let ΣX ... WebTRIANGULATED CATEGORIES WITH CLUSTER TILTING SUBCATEGORIES 705 then weak add.TT1U/-cluster tilting subcategories coincide with add.TT1U/-cluster tilting subcategories, and are also the same as TT1U-cluster tilting objects introduced in[Yang and Zhu 2024]. The first part of our work is to develop a basic theory of ghost cluster … WebJun 13, 2024 · In this paper we introduce nZ-abelian and nZ-exact categories by axiomatising properties of nZ-cluster tilting subcategories. We study this categories and show that every nZ-cluster tilting … Expand. PDF. View 3 excerpts, cites background; Save. Alert. The role of gentle algebras in higher homological algebra. cooler bag lunch boxes