| LR-逆半群的半直积 |
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| 引用本文： | 李映辉,张荣华. LR-逆半群的半直积[J]. 云南大学学报(自然科学版), 2006, 28(3): 188-191 |
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| 作者姓名： | 李映辉 张荣华 |
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| 作者单位： | 云南大学,数学系,云南,昆明,650091 |
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| 基金项目： | 国家自然科学基金资助项目(10071068)，云南省教育厅重点项目(5z0058A)，云南省自然科学基金资助项目(2002A0058M) |
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| 摘 要： | LR-逆半群是拟逆半群的一个重要子类.研究了LR-逆半群的半直积,得到了2个LR-逆半群的半直积(直积)是一个LR-逆半群的充要条件,最后证明了半格和群的半直积是一个右逆半群.
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| 关 键 词： | LR-逆半群 纯正半群 半直积 直积 |
| 文章编号： | 0258-7971(2006)03-0188-04 |
| 修稿时间： | 2005-04-22 |
Semidirect products on LR-inverse semigroup |
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| LI Ying-hui,ZHANG Rong-hua. Semidirect products on LR-inverse semigroup[J]. Journal of Yunnan University(Natural Sciences), 2006, 28(3): 188-191 |
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| Authors: | LI Ying-hui ZHANG Rong-hua |
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| Affiliation: | Department of Mathematics, Yunnan University, Kunming 650091, China |
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| Abstract: | The class of LR-inverse semigoups is an important subclass of quasi-inverse semigroups.It is continued inverstigate semidirect products of LR-inverse semigroup.A sufficient and necessary condition such that the semidirect(direct) product of two semigroups is an LR-inverse semigroup is given.Finally,it is proved that the semidirect product of a semilattice and a right inverse semigroup. |
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| Keywords: | LR-inverse semigroup orthodox semigroup semidirect product direct product |
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