On generalized inverse transversals

On generalized inverse transversals
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DOI:
10.1007/s10114-007-6550-9
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发表时间:
2008-07
期刊:
Acta Mathematica Sinica, English Series
影响因子:
--
通讯作者:
Ronghua Zhang;Shou-feng Wang
Ronghua Zhang;Shou-feng Wang
中科院分区:
其他
文献类型:
--
作者:
Ronghua Zhang;Shou-feng Wang

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设S是一个正则半群,S的Soan逆子半群。So称为S的广义逆横截,如果V(x) ∩So≠ø。本文讨论了这类半群的一些性质。特别是,获得了一个构造定理,其中包含文献中的一些最新结果作为其特例。
LetSbe a regular semigroup,Soan inverse subsemigroup ofS.Sois called a generalized inverse transversal ofS, ifV(x) ∩So≠ø. In this paper, some properties of this kind of semigroups are discussed. In particular, a construction theorem is obtained which contains some recent results in the literature as its special cases.