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arXiv · 1904.11635

An application of a theorem of Sheila Brenner for Hochschild extension algebras of a truncated quiver algebra

Hideyuki Koie
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Abstract

Let $A$ be a truncated quiver algebra over an algebraically closed field such that any oriented cycle in the ordinary quiver of $A$ is zero in $A$. We give the number of the indecomposable direct summands of the middle term of an almost split sequence for a class of Hochschild extension algebras of $A$ by the standard duality module $D(A)$.

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Hideyuki Koie. 2019-04-26. An application of a theorem of Sheila Brenner for Hochschild extension algebras of a truncated quiver algebra. https://arxiv.org/abs/1904.11635

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