A BRICK VERSION OF A THEOREM OF AUSLANDER Page 1 Nagoya Math. J., 249 (2023),
88–106 DOI 10.1017/nmj.2022.22 A BRICK VERSION OF A THEOREM OF AUSLANDER …

REPRESENTATION DIMENSION OF QUASI-TILTED ALGEBRAS 1. Introduction The
representation dimension of an artin algebra has been intr Page 1 REPRESENTATION …

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 …

The class of support-tilting modules was introduced to provide a completion of the class of
tilting modules from the point of view of mutations. In this article, we study-tilting finite …

Motivated by a new conjecture on the behavior of bricks, we start a systematic study of
minimal-tilting infinite (min--infinite, for short) algebras. In particular, we treat min--infinite …

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 …

If A is hereditary, the endomorphism algebra B-End (TA) of a tilting module TA is said to be a
tilted algebra. In [4, Theorem 7.2], it has been shown that an artin algebra B is a tilted …

Let $ A $ be a connected finite dimensional $ k $-algebra, and let $ M $ be a nonzero
decomposable $ A $-module such that the one-point extension $ A [M] $ is quasitilted. We …

Tilting theory is a central topic in the representation theory of artin algebras, with origins in
work of Bernstein {Gelfand {Ponomarev from the early seventies. There has been extensive …

If A is a finite dimensional, connected, wild, hereditary algebra and T is a tilting module in A-
mod with corresponding tilted algebra B= End,(T), then T defines a torsion theory (F (T), 9 …