The structure of (L)*-inverse semigroups

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.

作 者： REN Xueming SHUM Karping   作者單位： REN Xueming(Department of Mathematics, Xi'an University of Architecture and Technology, Xi'an 710055, China)

SHUM Karping(Faculty of Science, The Chinese University of Hong Kong, Hong Kong, China) 

刊 名： 中國科學A輯（英文版）  SCI 英文刊名： SCIENCE IN CHINA (MATHEMATICS)  年，卷(期)： 2006 49(8)  分類號： O1  關鍵詞： (L)*-inverse semigroups   type A semigroups   left regular bands   left wreath products  

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