| The structure of L*-inverse semigroups |
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| 引用本文： | REN Xueming & SHUM Karping Department of Mathematics,Xi''''an University of Architecture and Technology,Xi''''an 710055,China, Faculty of Science,The Chinese University of Hong Kong,Hong Kong,China. The structure of L*-inverse semigroups[J]. 中国科学A辑(英文版), 2006, 49(8). DOI: 10.1007/s11425-006-1065-x |
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| 作者姓名： | REN Xueming & SHUM Karping Department of Mathematics Xi''''an University of Architecture and Technology Xi''''an 710055 China Faculty of Science The Chinese University of Hong Kong Hong Kong China |
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| 作者单位： | REN Xueming & SHUM Karping Department of Mathematics，Xi'an University of Architecture and Technology，Xi'an 710055，China; Faculty of Science，The Chinese University of Hong Kong，Hong Kong，China |
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| 基金项目： | 陕西省自然科学基金;陕西省教育厅资助项目 |
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| 摘 要： | The concepts of L*-inverse semigroups and left wreath products of semigroups are introduced. It is shown that the L*-inverse semigroup can be described as the left wreath product of a type A semigroupΓand a left regular band B together with a mapping which maps the semigroupΓinto the endomorphism semigroup End(B). This result generalizes the structure theorem of Yamada for the left inverse semigroups in the class of regular semigroups. We shall also provide a constructed example for the L*-inverse semigroups by using the left wreath products.
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The structure of (L)*-inverse semigroups |
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| REN Xueming,SHUM Karping. The structure of (L)*-inverse semigroups[J]. Science in China(Mathematics), 2006, 49(8). DOI: 10.1007/s11425-006-1065-x |
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| Authors: | REN Xueming SHUM Karping |
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| Abstract: | The concepts of (L)*-inverse semigroups and left wreath products of semigroups are introduced. It is shown that the (L)*-inverse semigroup can be described as the left wreath product of a type A semigroup Γ and a left regular band B together with a mapping which maps the semigroup Γ into the endomorphism semigroup End(B). This result generalizes the structure theorem of Yamada for the left inverse semigroups in the class of regular semigroups.We shall also provide a constructed example for the (L)*-inverse semigroups by using the left wreath products. |
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| Keywords: | (L)*-inverse semigroups type A semigroups left regular bands left wreath products |
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