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Smash积为单环,素环,本原环的充要条件
引用本文:方洪锦,蔡传仁.Smash积为单环,素环,本原环的充要条件[J].数学杂志,1994,14(4):481-485.
作者姓名:方洪锦  蔡传仁
作者单位:扬州师范学院
摘    要:本文对任意群G及任意的G-分环次A(不必含有单位元),讨论了A与Smash积A#G^的相关性质,给出了环A#G是单环,素环及本原环的刻划。

关 键 词:分次环  Smash积  单环  素环  本原环

NECESSAY AND SUFFICIENT CONDITI0N FOR SWASH PRODUCT BEING SIMPLE PRIME OR PRIMTIVE RING
Fang HongjinCai Chuanren,Chen Huixiang.NECESSAY AND SUFFICIENT CONDITI0N FOR SWASH PRODUCT BEING SIMPLE PRIME OR PRIMTIVE RING[J].Journal of Mathematics,1994,14(4):481-485.
Authors:Fang HongjinCai Chuanren  Chen Huixiang
Abstract:For any group G and any G-graded ring A(not necessarily with identity)we discuss the related properties of A and smash product It is given that characteristics for being a simple, prime and primitive ring resp-ectively.
Keywords:graded r1ng  smash product  graded primtive ring  
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