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M. Auslander, I. Reiten. On a generalized version of the Nakayama conjecture. Proceedings of the American Mathematical Society, 1975, 52(1): 69-74.

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• 标题: C-正交有限代数的广义Nakayama猜想Generalized Nakayama Conjecture for C-Orthogonal-Finite Algebras

  作者: 张孝金

  关键字: C-正交有限代数, 广义Nakayama猜想, Gorenstein投射模 C-Orthogonal-Finite Algbras; Generalized Nakayama Conjecture; Gorenstein Projective Modules

  期刊名称: 《Pure Mathematics》, Vol.3 No.1, 2013-01-10

  摘要: 给出了C-正交有限代数的定义并证明了任意的C-正交有限代数满足广义Nakayama猜想。由此可得到Gorenstein CM-有限代数满足广义Nakayama猜测。In this paper, the C-orthogonal-finite algebras are defined. Moreover, the generalized Nakayama conjecture is proved to be true for C-orthogonal-finite algebras. As a result, Gorenstein CM-finite algebras satisfy the generalized Nakayama conjecture.