| B0,I0,B1,I1,C0-半群 |
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| 引用本文： | 程茜,朱聘瑜,于慧.B0,I0,B1,I1,C0-半群[J].纯粹数学与应用数学,2010,26(5):715-720. |
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| 作者姓名： | 程茜 朱聘瑜 于慧 |
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| 作者单位： | 青海师范大学数学系,青海,西宁,810008;大连交通大学数理系,辽宁,大连,116028 |
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| 基金项目： | 青海师范大学科研基金 |
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| 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.
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| 关 键 词： | 理想 双理想 双主双理想 |
B0,I0,B1,I1,C0-Semigroup |
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| CHENG Qian,ZHU Pin-yu,YU Hui.B0,I0,B1,I1,C0-Semigroup[J].Pure and Applied Mathematics,2010,26(5):715-720. |
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| Authors: | CHENG Qian ZHU Pin-yu YU Hui |
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| Institution: | CHENG Qian 1,ZHU Pin-yu 1,YU Hui 2(1.Department of Mathematics,Qinghai Normal University,Xining 810008,China,2.Department of Mathematics and Physics,Dalian Jiaotong University,Dalian 116028,China) |
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| Abstract: | Some kinds of semigroups B0,I0,B1,I1,C0-semigroup are defined by the relationship between ideals and bi-ideals,and the following properties are proofed: the suffcient 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 B0,I0,B1,I1 and C0-semigroups. |
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| Keywords: | ideal bi-ideal dual-principal bi-ideal |
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