|
|||||
|
|
| 局部单位元半群分次环 | |
| 引用本文： | 张子龙,侯波,郭秀英. 局部单位元半群分次环[J]. 数学的实践与认识, 2009, 39(22) |
| 作者姓名： | 张子龙 侯波 郭秀英 |
| 作者单位： | 1. 河北师范大学数学与信息科学学院,河北,石家庄,050016 2. 石家庄铁道学院数理系,河北,石家庄,050041 |
| 基金项目： | 国家自然科学基金，河北省自然科学基金，河北师范大学博士基金 |
| 摘 要： | 设S为有限局部单位元半群,R为S—分次环.首先定义了S—分次环R在半群S上的冲积R#S*,证明了模范畴R#S*-M od与分次模范畴(S,R)-g r之间的等价性,并进一步研究了局部单位元半群分次环的分次Jacobson根及其相关的自反根的关系,得到重要关系式J(R#S*)=JS(R)#S*及Jref(R)=(J(R#S*))↓=JS(R). |
| 关 键 词： | 冲积 局部单位元半群 局部单位分次环 |
The Rings Graded by Locally Identities Semi-groups |
|
| ZHANG Zi-long,HOU Bo,GUO Xiu-ying. The Rings Graded by Locally Identities Semi-groups[J]. Mathematics in Practice and Theory, 2009, 39(22) | |
| Authors: | ZHANG Zi-long HOU Bo GUO Xiu-ying |
| Abstract: | Let S be a locally identities semigroup, R a locally unital S-graded ring. In this paper, we define the notion of the smash product R #S~* and study the equivalence between the category R #S~*-MOd and the graded (S,R)-gr. Moreover, we discuss the propoties of the related radicals and obtain the relations on the Jacobson radical of the ring R #S~* : J(R #S~*) = J_S(R)R #S~* and JM_(ref)(R) = (J(R#S~*))~↓ = J_S(R). |
| Keywords: | smash product locally identiries semigroup locally unital graded ring |
| 本文献已被 万方数据 等数据库收录！ | |