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.
出处
《纯粹数学与应用数学》
CSCD
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
关键词
理想
双理想
双主双理想
ideal, bi-ideal, dual-principal bi-ideal
