ON τ-TILTING MODULES OVER TRIVIAL EXTENSIONS OF GENTLE TREE ALGEBRAS

Kodai Mathematical Journal 2026 Open access

Read full text
Authors: Qi Wang, Yingying Zhang
DOI: 10.2996/kmj49105
Cited by: 0
References: 31

Abstract

We show that trivial extensions of gentle tree algebras are exactly Brauer tree algebras without exceptional vertex. We also give a characterization for the algebras whose trivial extensions are Brauer line/star/cycle algebras. As a consequence, the number of support $\tau$-tilting modules over the trivial extension $T(A)$ of a gentle tree algebra $A$ depends only on the number of simple $A$-modules.

Fields of Study & Subjects

Algebraic structures and combinatorial models Rings Modules and Algebras Commutative Algebra and Its Applications

Publication details

Journal / source
Kodai Mathematical Journal
Publisher
Tokyo Institute of Technology, Department of Mathematics
Volume
49
Issue
1
Pages
80-94
Publication date
2 March 2026
Language
EN