Let Λ and Γ be artin algebras and T:= Λ M 0 Γ the triangular matrix algebra with M a finitely
generated (Λ, Γ)-bimodule. We construct support τ-tilting modules and (τ-) tilting modules in …

Let Λ be an Artin algebra and T a τ-tilting Λ-module. We prove that T is a tilting module if and
only if Ext Λ i (T, Fac T)= 0 for all i≥ 1, where Fac T is the full subcategory consisting of …

Let A and B be Artin algebras and let M be an (A, B)-bimodule with MA and MB finitely
generated. In this paper, we construct tilting pairs of subcategories and Wakamatsu tilting …

Let A be an Artin algebra. Following Miyashita, a pair (C, T) in A-mod is called tilting
provided both C and T are selforthogonal such that T∈ addACˆ and C∈ addATˇ. In this …

Bazzoni had given a simple characterization of infinitely generated n-tilting modules.
Though her method is even inapplicable to classical n-tilting modules over Artin algebras …

Let A be an Artin algebra. A pair (C, T) of A-modules is tilting provided that C and T are
(finitely generated) self-orthogonal, T∈ addˆAC and C∈ adďAT. Particularly, T is a tilting …

We study (support) τ-tilting modules over the trivial extensions of finite-dimensional
algebras. More precisely, we construct two classes of (support) τ-tilting modules in terms of …

A triangular matrix ring Λ is defined by a triplet (R, S, M) where R and S are rings and RMS is
an SR-bimodule. In the main theorem of this paper we show that if TS is a tilting S-module …

Abstract Recently, Adachi, Iyama and Reiten [1] introduced support τ-tilting modules which is
an interesting generalization of classical tilting modules and showed that they have close …

In this paper, we study τ-tilting modules over Nakayama algebras. We establish bijections
between τ-tilting modules, triangulations of a polygon with a puncture, and certain integer …