| 所有双理想都是理想的半群 |
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| 引用本文： | 程茜,于慧.所有双理想都是理想的半群[J].青海师专学报,2011(5):11-13. |
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| 作者姓名： | 程茜 于慧 |
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| 作者单位： | [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 |
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| 基金项目： | 青海师范大学青年教师科学基金（200904） |
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| 摘 要： | 所有双理想都是理想的半群定义为I0-半群,所有子半群都是双理想的半群定义为C0-半群;得到正则半群S是I0-半群当且仅当B（S）是半格;π-正则半群S是C0-半群,则S是矩形带的幂零扩张.
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| 关 键 词： | 理想 双理想 双主双理想 |
On Semigroups Whose Bi-ideals are ideals |
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| CHENG Qian,YU hui.On Semigroups Whose Bi-ideals are ideals[J].Journal of Qinghai Junior Teachers' College,2011(5):11-13. |
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| Authors: | CHENG Qian YU hui |
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| Institution: | 1.Department of Mathematics Qinghai Normal University,Xining 810008,China;2.Dalian JiaoTong University,Dalian 116028) |
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| Abstract: | The semigroup whose bi-ideals are ideals is called I0-semigroup,the semigroup whose subsemigroups are bi-ideals is called C0-semigroup;the following results are given： the sufficient and necessary condition of regular seimgroup S being I0-semigroup is B（S） being semilattice;if the π-regular seimgroupS is C0-semigroup,Sis a nil-extension of rectangular band. |
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| Keywords: | Ideal Bi-ideal Dual-principal bi-ideal |
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