B_0,I_0,B_1,I_1,C_0-半群  

B_0, I_0, B_1, I_1, C_0-Semigroup

作　　者：程茜[1] 朱聘瑜[1] 于慧[2] 

机构地区：[1]青海师范大学数学系,青海西宁810008 [2]大连交通大学数理系,辽宁大连116028

出　　处：《纯粹数学与应用数学》2010年第5期715-720,共6页Pure and Applied Mathematics

基　　金：青海师范大学科研基金

摘　　要：利用半群的理想和双理想呈现的包含关系定义了新的半群类B0,I0,B1,I1,C0-半群,讨论其性质,证明了正则半群S是C0-半群的充要条件是S是矩形带;B0,I0,B1,I1,C0-半群各自的直积半群和关于同余的商半群保持B0,I0,B1,I1,C0性.Some kinds of semigroups B0, I0, B1,I1, Co- semigroup are defined by the relationship between ideals and bi-ideals, and the following properties are proofed： the sufficient and necessary condition of regular seimgroup S being C0-semigroup is S being rectangular band; the respective cartesian products and the quotient semigroups of congruence of the above semigroups keep their properties of Bo, Io,B1, I1 and C0-semigroups.

关 键 词：理想 双理想 双主双理想 

分 类 号：O152.7[理学—数学]