On dominant dimensions of -3 algebras
On dominant dimensions of -3 algebras
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DOI：
10.1090/s0002-9947-1964-0161888-8
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发表时间：
1964-02
影响因子：
1.3
通讯作者：
H. Tachikawa
中科院分区：
文献类型：
--
作者：
H. Tachikawa
导论. Nakayama [8]将群的完全上同调理论推广到Frobenius代数的情形。他[10]还建议根据右增广的、双侧的、投射的、内射的归结的长度来对代数进行分类。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代数的情形，另一个目的是给出其长度的估计。设B是单位元为1的交换域上的结合代数，M是右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