新型软环  

A new type of soft rings

作　　者：朱翔[1,2] 廖祖华[1] 吴修竹 朱晓英[1] 刘维龙[1] 

机构地区：[1]江南大学理学院,江苏无锡214122 [2]无锡职业技术学院基础部,江苏无锡214121

出　　处：《模糊系统与数学》2017年第6期145-150,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61170121;11401259);江苏省自然科学基金(批准号:BK2015117)

摘　　要：首先将软集的参数集赋予环的代数结构,提出新型软环的概念,并讨论在软集的运算下新型软环的相关性质.然后,运用对偶软集的方法给出了新型软环的等价刻画.最后,基于扩张原理,给出了新型软环的同态像和原像的性质.Firstly, the concept of a new type of soft rings is introduced by endowing a parameter set with a ring algebra structure. Then the related properties of a new type of soft rings under the soft set operation are discussed. Besides, new type of soft rings are given. image of a new type of soft rings by F are applying the dual soft inally, the properties investigated based on sets, the equivalent characterizations of a of the homomorphism image and inverse the extension principle.

关 键 词：软集 新型软环 对偶软集 同态映射 软集运算 

分 类 号：O141.1[理学—数学]