SMOOTH RINGS

摘要：

Different from available Rosenfeld fuzzy groups and YUAN fuzzy groups, smooth groups are a new kind of fuzzy group structure. However, smooth groups possess one kind of binary operations. In order to solve the problem, this paper forwards smooth rings which possess two kinds of binary operations, presents and proves two theorems: 1. Smooth kernel of smooth homomorphism a is two-sided ideal. The sufficient and necessary condition for σ(r1)= σ(r2) is that r1 and r2 are congruent for smooth kernel. 2. Fundamental theorem of homomorphism of smooth rings. The work of this paper enriches the algebraic structure of smooth groups. Similar work has not been seen in literature.

关键词： Smooth rings smooth ideals smooth kernel smooth quotient rings fundamental theorem of homomorphism of smooth rings

作者: CHUAN-YU XU

作者单位: Department of Mathematics, Zhejiang Gongshang University, Hangzhou, 310035, China

会议类型: 国际会议

会议名称: 2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)

会议地点: 昆明

会议语种:英文

页码: 571-575

在线出版日期: 2008-07-12（万方平台首次上网日期，不代表论文的发表时间）