对合三元半群的幂半环  

The Power Semiring of Involution Ternary Semigroup

作　　者：冯军庆[1] 梁国宏[1] 徐慧[1] FENG Junqing;LIANG Guohong;XU Hui(College of Sciences,Air Force Engineering University,Shaanxi Xi'an 710051,China)

机构地区：[1]空军工程大学理学院,陕西西安710051

出　　处：《河北师范大学学报（自然科学版）》2021年第2期109-111,共3页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11661073);空军工程大学基础部基金(JK2020105)。

摘　　要：利用对合三元半群的理想理论研究了对合三元半群的幂半环的性质与结构.得到了对合三元半群的幂半环是K-正则的当且仅当对合三元半群是正则的,并给出了2个对合三元半群的幂半环同构的一个充分条件.This paper is devoted to investigating the properties and structure of power semirings of involutive ternary semigroups by using the ideal theory of involutive ternary semigroups.We obtained that the power semirings of involutive ternary semigroups are K-regular if and only if the involutive ternary semigroups are regular,and that a sufficient condition for the isomorphism of power semirings of two involutive ternary semigroups is given.

关 键 词：对合三元半群 幂半环 理想 同构 

分 类 号：O152.7[理学—基础数学]