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 …

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 …

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 …

D. Happel and L. Unger defined a partial order on the set of basic tilting modules. We study
the poset of basic pre-projective tilting modules over path algebra of infinite type. First we …

Abstract C. Ingalls and H. Thomas defined support tilting modules for path algebras. From τ τ-
tilting theory introduced by T. Adachi, O. Iyama and I. Reiten, a partial order on the set of …

We classify the maximal rigid objects of the Σ 2 τ-orbit category C(Q) of the bounded derived
category for the path algebra associated to a Dynkin quiver Q of type A, where τ denotes the …

Abstract D. Happel and L. Unger defined a partial order on the set of basic tilting modules.
We study the poset of basic pre-projective tilting modules over path algebra of infinite type …

Happel and Unger defined a partial order on the set of basic tilting modules. We study the
poset of basic preprojective tilting modules over path algebras of representation-infinite type …

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 give a complete classification of the infinite dimensional tilting modules over a tame
hereditary algebra R. We start our investigations by considering tilting modules of the form …