关于N(2,2,0)代数的软理想  

On the Soft Ideals of a N(2,2,0)Algebra

作　　者：张瑜[1] 廖祖华 ZHANG Yu;LIAO Zu-hua(Jiangsu Vocational College of Information Technology,Wuxi 2141153,China;Mathematics Department of School of Science,Jiangnan University,Wuxi 214122,China)

机构地区：[1]江苏信息职业技术学院,江苏无锡214153 [2]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2021年第3期33-40,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61170121);江苏省自然科学基金资助项目(BK20151117);江苏省高等学校自然科学基金资助项目(19KJD10006)。

摘　　要：本文将软集引入到N(2,2,0)代数,给出了软理想、软关联理想、软正关联理想的概念,讨论了它们之间的相互关系;得到了N(2,2,0)代数的软理想、软关联理想和软正关联理想的等价刻画,并研究了它们在软集运算下的若干基本性质;最后,探讨了软理想的像与原像的基本性质。Firstly,by introducing soft sets theory into N(2,2,0)algebras,the concepts of soft ideals,soft implicative ideals and soft positive implicative ideals of N(2,2,0)algebras are presented,and the mutual relationships are also discussed.Secondly,the equivalent characterizations of soft ideals,soft implicative ideals and soft positive implicative ideals of N(2,2,0)algebras are given.With the help of soft sets operations,several basic properties of soft ideals are studied.Finally,homomorphism image and homomorphism preimage of soft ideals of N(2,2,0)algebras are also investigated.

关 键 词：N(2 2 0)代数 软理想 软关联理想 软正关联理想 

分 类 号：O153[理学—数学]