This is the first of a two-volume set that provides a modern account of the representation
theory of finite dimensional associative algebras over an algebraically closed field. The …

Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …

REPORT ON THE FINITENESS OF SILTING OBJECTS Page 1 Proceedings of the Edinburgh
Mathematical Society (2021) 64, 217–233 doi:10.1017/S0013091521000109 REPORT ON THE …

We compare the notions of τ-tilting finiteness and representation-finiteness of the biserial
algebras. In particular, we treat the minimal representation-infinite biserial algebras and give …

Let A be a finite dimensional K-algebra over an algebraically closed field K and mod A be
the category of finite dimensional right A-modules. The main aim of this survey article is to …

We study the class of algebras A satisfying the property: all but at most finitely many non-
isomorphic indecomposable A-modules are such that all their predecessors have projective …

Let A be a basic connected finite-dimensional algebra over an algebraically closed field. We
show that if A has all its indecomposable projectives (or injectives) lying in a component of …

We study the class of algebras having a path of nonisomorphisms from an indecomposable
injective module to an indecomposable projective module and any such path is bounded by …

Abstract top An artin algebra A over a commutative artin ring R is called quasitilted if gl. dim
A≤ 2 and for each indecomposable finitely generated A-module M we have pd M≤ 1 or id …

Full article: Cycle-Finite Algebras with Finitely Many τ-Rigid Indecomposable Modules Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …