The theory for tilting and cotilting modules has its roots in the representation theory of finite
dimensional algebras (artin algebras) generalizing Morita equivalence and duality. First …

Let R be a split extension of A by a nilpotent ideal M. We give necessary and sufficient
conditions to ensure when a support τ-tilting R-module induces a support τ-tilting A-module …

It is well known that tilting modules of projective dimension⩽ 1 coincide with∗-modules
generating all injectives. This result is extended in this paper. Namely, we generalize∗ …

The notion of (semi) bricks, regarded as a generalization of (semi) simple modules,
appeared in a paper of Ringel in 1976. In recent years, there has been several new …

We study the class of modules, called cosilting modules, which are defined as the
categorical duals of silting modules. Several characterizations of these modules and …

We provide a complete classification of all tilting modules and tilting classes over almost
perfect domains, which generalizes the classifications of tilting modules and tilting classes …

1586 COLBY AND FULLER and Ringel [12] obtained an interesting class of algebras of
finite type by calculating the tilting modules and the corresponding tilted algebras. Here we …

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 …

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 …

Classical tilting theory originated in the representation theory of finite dimensional algebras,
as one of the basic tools for investigation of finite dimensional modules over algebras close …