We consider whether the tilting properties of a tilting A-module T and a tilting B-module T′
can convey to their tensor product T⊗ T′: The main result is that T⊗ T′ turns out to be an …

In this article, we provide a new generalization of tilting modules, named (generalized) tilting
modules with respect to σ [M], or simply (generalized) M-tilting modules and then …

We study a natural generalization of* n-modules (and hence also of*-modules) by
introducing the notion of*∞-modules. The most important results about* n-modules (and …

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 …

We introduce the notion of semi-tilting modules and show that the class of basic semi-tilting
modules is closed under mutation. Using this, we provide a partial answer to the Wakamatsu …

In order to better unify the tilting theory and the Auslander–Reiten theory, Xi introduced a
general transpose called the relative transpose. Originating from this, we introduce and …

Takahide Adachi (Nagoya University) τ-tilting modules over Nakayama algebras Abstract:
As a generalization of tilting modules, Page 1 Takahide Adachi (Nagoya University) τ-tilting …

In this paper, we define support tau (n)-tilting modules over a finite dimensional k-algebra A.
We establish a bijection between support tau (n)-tilting modules and n-term silting …

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 …

Let R be a ring. A right R-module U is called Tor-tilting if, where U+= Homℤ (U, ℚ/ℤ), Cogen
(U+) is the class of left R-modules cogenerated by U+ and consists of modules RM such that …