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 作者单位： 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： 中国科学A辑（英文版） SCI 英文刊名： SCIENCE IN CHINA (MATHEMATICS) 年，卷(期)： 2006 49(8) 分类号： O1 关键词： (L)*-inverse semigroups type A semigroups left regular bands left wreath products