分次σ-半单类  

The Graded σ-semisimple Class

作　　者：刘淑霞[1] 刘稳[1] 蔡炳苓[1] 

机构地区：[1]河北师范大学数学与信息科学学院,河北石家庄050016

出　　处：《河北师范大学学报（自然科学版）》2004年第3期217-219,233,共4页Journal of Hebei Normal University：Natural Science

基　　金：河北省自然科学基金资助项目(102132)

摘　　要：讨论了分次σ半单类的一些重要性质,给出了分次环类S是分次σ半单类的2个充分必要条件:1)S是分次σ正则的,若分次环R的任何非零分次σ子环都可以分次同态满射到S中非零分次环上,则R∈S;2)S是分次正则的、分次余可归纳的,并且是分次扩张闭的.The properties of the graded σ-semisimple class are discussed,two necessary and sufficient conditions that the graded ring class S is graded σ-semisimple class are 1) S be graded σ-regular,if any nonzerograded σ-subring of graded ring R may homomorphic epimorphism to nonzero graded ring of S,then R∈S.2) S be graded σ-regular,graded co-inducible and graded extension closed.

关 键 词：分次σ-半单类 分次环类 分次σ-正则 H-关系 分次σ-根 

分 类 号：O153.3[理学—数学]