C-正交有限代数的广义Nakayama猜想
Generalized Nakayama Conjecture for C-Orthogonal-Finite Algebras
DOI: 10.12677/PM.2013.31001, PDF, HTML, 下载: 3,814  浏览: 11,849  国家自然科学基金支持
作者: 张孝金*：南京信息工程大学数学系
关键词: 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
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。
Abstract: 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.
文章引用：张孝金. C-正交有限代数的广义Nakayama猜想[J]. 理论数学, 2013, 3(1): 1-3. http://dx.doi.org/10.12677/PM.2013.31001

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