关于G－分次环与G－集的Smash积的几个结果

Some Results of The Smash Product Associated with a G-graded Ring and a G-set

中文关键词:  群分次环  G-集  smash积  矩阵表示．

英文关键词:group graded ring  G-set  smash product  matrix representation.

中文摘要:

      设Ｇ为任意群，本文借助于环的矩阵表示给出了Ｇ-分次环与任意可迁Ｇ-集的ｓｍａｓｈ积是素环或单环的刻画．

英文摘要:

      For any group G and G-graded ring R , we give some characterizations for the smash product, associated with R and a G-set, to be a prime or simple ring.