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.
出处
《河北师范大学学报(自然科学版)》
CAS
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)