The Almost Split Sequences for Trivial Extensions of Hereditary Algebras

The Almost Split Sequences for Trivial Extensions of Hereditary Algebras

Year:    2014

Author:    Yulin Zhang, Hailou Yao

Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 369–378

Abstract

Let $A$ be a basic hereditary artin algebra and $R = A \ltimes Q$ be the trivial extension of $A$ by its minimal injective cogenerator $Q$. We construct some right (left) almost split morphisms and irreducible morphisms in mod$R$ through the corresponding morphisms in mod$A$. Furthermore, we can determine its almost split sequences in mod$R$.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2014.04.10

Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 369–378

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    hereditary algebra trivial extension AR sequence irreducible morphism.

Author Details

Yulin Zhang

Hailou Yao