On QF-rings with cyclic Nakayama permutations
On QF-rings with cyclic Nakayama permutations
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关于具有循环 Nakayama 排列的 QF 环
DOI：
10.18910/3652
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发表时间：
1997
影响因子：
0.4
通讯作者：
S. Rim
中科院分区：
文献类型：
--
作者：
K. Oshiro;S. Rim
如果R是一个ζλ f环，则R包含一个基本的ζλ f -子R°，使得R等于R°的森田等价。因此考虑了R°的中山置换，我们称之为R的中山置换。众所周知，域上有限群的群代数的中山置换是恒等的。本文研究了具有循环中山置换的λ f环。我们的主要结果如下：
t is said to be a Nakayama permutation of R. 1 / 2 •" fn, If R is a ζλF-ring, then R contains a basic ζλF-subring R° such that R is Morita equivalent to R°. So Nakayama permutations of R° are considered and we call these Nakayama permutations of R. It is well-known that Nakayama permutations of a group algebra of a finite group over a field are identity. This paper is concerned with (λF-rings with cyclic Nakayama permutations. Our main result is the following: