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An application of a theorem of Sheila Brenner for Hochschild extension algebras of a truncated quiver algebra (1904.11635v1)

Published 26 Apr 2019 in math.RA and math.RT

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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