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-  2018 

具有可乘逆断面的正则半群的λ-半直积
λ-Semidirect products of regular semigroups with a multiplicative inverse transversal

DOI: 10.6040/j.issn.1671-9352.0.2017.570

Keywords: 可乘逆断面,正则半群,λ-半直积,
regular semigroup
,multiplicative inverse transversal,λ-semidirect

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Abstract:

摘要: 引入了具有可乘逆断面的正则半群上的λ-半直积的概念, 证明了两个具有可乘逆断面的正则半群的λ-半直积仍为具有可乘逆断面的正则半群,推广了逆半群的相关结论。
Abstract: λ-Semidirect products of regular semigroups with a multiplicative inverse transversal are introduced. It is proved that the λ-semidirect of two regular semigroups with a multiplicative inverse transversal is always a regular semigroup with a multiplicative inverse transversal, which generalizes the related results of inverse semigroups

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