Throughout, unless specified otherwise, Q denotes a finite and connected quiver, k is a field
and all algebras are considered to be basic, connected, associative and finite dimensional …

We treat the τ-tilting finiteness of minimal representation-infinite algebras and particularly the
non-distributive ones. Building upon the new results of Bongartz, we fully determine which …

First a duality theory is developed for arbitrary finite-dimensional algebras Λ and Λ′. It
provides a characterization of the contravariant equivalences which link resolving …

For any truncated path algebra Λ, we give a structural description of the modules in the
categories P^< ∞ (Λ-\rm mod) and P^< ∞ (Λ-\rm mod), consisting of the finitely generated …

We prove that a finite dimensional algebra is τ-tilting finite if and only if it does not admit
large silting modules. Moreover, we show that for a τ-tilting finite algebra A there is a …

Abstract top Let A= kQ/I be a finite dimensional basic algebra over an algebraically closed
field k presented by its quiver Q with relations I. A fundamental problem in the representation …

For a basic, hereditary, finite dimensional algebra Λ over an algebraically closed field k we
consider the quiver \mathcalK\!_Λ of tilting modules and the subquivers of \mathcalK\!_Λ …

Let be a finite dimensional, basic, connected algebra over an tally closed field k. Following
[G], we write B= kA/Y-: where path algebra of a finite quiver without oriented cyc admissible …

The purpose of this article is threefold: The first is to provide an overview of old and recent
findings which relate finite dimensional tilting modules over a finite dimensional algebra Λ to …

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