关于N(2,2,0)代数的反正则半群  

On anti-regular semigroups of N(2,2,0)algebra

作　　者：陈露[1] CHEN Lu(School of Mathematics and Computer Science,Shanxi University of Technology,Hanzhong 723000,China)

机构地区：[1]陕西理工大学数学与计算机科学学院

出　　处：《安徽大学学报（自然科学版）》2019年第4期12-16,共5页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11305097);陕西省协同创新平台项目(QBXT-Z(Y)-15-4);陕西省教育厅项目(17JK0132)

摘　　要：在N(2,2,0)代数中引入反正则元的概念,给出了N(2,2,0)代数中正则元、逆元和反正则元的实例,讨论了N(2,2,0)代数的反正则半群的相关性质.最后,利用反正则元构造了N(2,2,0)代数的一个商代数。In the paper,the concept of anti-regular element of N(2,2,0) algebra was introduced. Some examples about regular element,inverse element and anti-regular element were provided,and some properties related to anti-regular semigroup of N(2,2,0) algebra were investigated. Finally,a quotient algebra was constructed by anti-regular element of N(2,2,0) algebra.

关 键 词：N(2 2 0)代数 反正则元 反正则半群 

分 类 号：O153[理学—数学]