TY - JOUR
T1 - The Almost Split Sequences for Trivial Extensions of Hereditary Algebras
AU - Zhang , Yulin
AU - Yao , Hailou
JO - Communications in Mathematical Research 
VL - 4
SP - 369
EP - 378
PY - 2021
DA - 2021/05
SN - 30
DO - http://doi.org/10.13447/j.1674-5647.2014.04.10
UR - https://global-sci.org/intro/article_detail/cmr/18959.html
KW - hereditary algebra, trivial extension, AR sequence, irreducible morphism.
AB - <p style="text-align: justify;">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$R$.</p>