某些GV-分配半环的结构  

SOME STRUCTURE OF GV-DISTRIBUTIVE SEMIRINGS

作　　者：蒲楠 李刚 Pu NanLi Gang(School of Mathematics and Statistics,Shandong Normal University,250358,Jinan,China)

机构地区：[1]山东师范大学数学与统计学院

出　　处：《山东师范大学学报（自然科学版）》2019年第2期162-166,共5页Journal of Shandong Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11601288)

摘　　要：本文研究和定义了GV-分配半环,GV-分配逆半环以及完全Archimedean半环以及拟带半环.根据GV-半群,GV-逆半群,完全Archimedean半群的性质研究了GV-分配半环,GV-分配逆半环以及完全Archimedean半环的结构并给出了三个等价定义.In this paper, we study and define GV-distributive semirings, GV-distributive inverse semirings, complete Archimedean semirings and quasi-band semirings. According to the properties of GV-semigroups, GV-inverse semigroups and complete Archimedean semigroups, the structures of GV-distributive semirings, GV -distributive inverse semirings and complete Archimedean semirings are studied and three equivalent definitions are given.

关 键 词：半环 GV-逆半群 GV-半群 拟带半环 完全Archimedean半群 

分 类 号：O152.7[理学—数学]