Now showing items 1-10 of 18
Tilt-critical algebras of tame type
(TAYLOR & FRANCIS INC, 2008)
Let A be a finite dimensional k-algebra over an algebraically closed field. Assume A=kQ/I where Q is a quiver without oriented cycles. We say that A is tilt-critical if it is not tilted but every proper convex subcategory ...
On m-cluster tilted algebras and trivial extensions
(Academic Press Inc Elsevier Science, 2013-01)
In this work we study the connection between iterated tilted algebras and m-cluster tilted algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m-cluster tilted algebra can be seen ...
A note on tilting sequences
We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.
On the Derived Categories and Quasitilted Algebras
In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable objects in these categories, using homological properties. Given a complex X*, we consider ...
Tilting Modules in Truncated Categories
(Natl Acad Sci Ukraine, Inst MathKyiv 4Ucrânia, 2014)
On Some Families Of Modules For The Current Algebra
τ-Tilting Modules Over One-Point Extensions by a Projective Module
Let A be the one point extension of an algebra B by a projective B-module. We prove that the extension of a given support τ-tilting B-module is a support τ-tilting A-module; and, conversely, the restriction of a given ...
Representation dimension of cluster-concealed algebras
We prove that the representation dimension of a cluster-concealed algebra B is 3. We compute its representation dimension by showing an explicit Auslander generator for the cluster-tilted algebra.
Cluster Tilted Algebras with a Cyclically Oriented Quive
In association with a finite dimensional algebra A of global dimension two, we consider the endomorphism algebra of A, viewed as an object in the triangulated hull of the orbit category of the bounded derived category, in ...
On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra
Given a cluster-tilted algebra B, we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relation-extension of C, then we show that if B ...