对合K-正则半环  

K-regular semiring with involution

作　　者：冯军庆[1] 徐慧[1] 

机构地区：[1]空军工程大学理学院,陕西西安710051

出　　处：《陕西师范大学学报（自然科学版）》2016年第4期14-16,共3页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：陕西省自然科学基金(2014JQ1014);国家自然科学基金(61402364)

摘　　要：研究对合K-正则半环的性质,利用K-正则半环的Green-关系从多个角度刻画对合K-正则半环,对合半群的幂半环是对合K-正则半环当且仅当对合半群是对合正则半群,最后给出对合正则半群的幂半环是对合交换半环的几个等价命题。Some properties on K-regular semiring with involution are studied.The K-regular semiring with involution are discussed in different ways by using Green-relation on K-regular semiring.The power semiring of semigroup with involution which is a K-regular semiring with involution if and only if semigroup is a regular semigroup.Finally,it is obtained that the equivalent proposition of the power semiring of involutorial regular semigroup which is a commutative semiring with involution.

关 键 词：对合K-正则半环 K-幂等元 幂等元半环 幂半环 

分 类 号：O152.7[理学—数学]