ON DOMINANT DIMENSIONS OF QF-3 ALGEBRAS
ON DOMINANT DIMENSIONS OF QF-3 ALGEBRAS
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DOI：
10.2307/1994293
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
H. Tachikawa
中科院分区：
文献类型：
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作者：
H. Tachikawa
介绍。 Nakayama [8] 将群的完全上同调理论扩展到 Frobenius 代数的情况。他[10]还建议根据右增广、双边、射影、单射解析的长度对代数进行分类。本文的目的之一是将上述完全上同调理论部分推广到非拟Frobenius代数的情况，另一个目的是给出长度的估计。设 B 是单位元素 1 的交换域上的结合代数，M 是单位右 B 模。如果
Introduction. The complete cohomology theory of groups was extended by Nakayama [8] to the case of Frobenius algebras. He [10] also proposed to classify algebras in accordance with the length of a right augumented, two-sided, projective, injective resolution. One of the purposes of this paper is to give a partial extension of the above complete cohomology theory to the case of nonquasi-Frobenius algebras and another is to give an estimation of the length. Let B be an associative algebra over a commutative field with unit element 1 and M a unital right B-module. If