@Article{CMR-30-369, author = {Zhang , Yulin and Yao , Hailou}, title = {The Almost Split Sequences for Trivial Extensions of Hereditary Algebras}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {4}, pages = {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$R$.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.04.10}, url = {http://global-sci.org/intro/article_detail/cmr/18959.html} }