给出了两个半群的半直积和圈积为矩形拟正则半群和矩形群的充要条件。

This paper gives necessary and sufficient conditions for the Semidirect and Wreath Products of two semigroups to be Rectangular Quasi-Regular Semigroups (Rectangular Groups).

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在去掉幺元的情况下，讨论了完全单半群的半直积问题。

The author discusses the problem of the semidirect products of completely simple semigroups without identity element.

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并运用双重半直积给出弱LR 好拟适当半群的结构定理。

Then we give a structure theorem of weak LR-good quasi-adequate semigroups by using the tool of dual semidirect product.

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