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).

中文翻译：

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Sheila Brenner定理在截短颤动代数的Hochschild扩展代数中的应用

让阿是截短颤动代数通过一个代数闭域，使得在普通颤动任何面向周期甲处于零甲。我们通过标准对偶模块D（A）给出A的一类Hochschild扩展代数的几乎分裂序列的中间不可分解的直接合数。