介绍弱左正则幺半群的概念，指出在可交换半群中，完全正则、弱左(右)正则和完全幂等是等价的。

In this paper, we introduce the notion of left weakly regular semigroup and show that in a commutative semigroup, the complete regularity, regularity, left resp.

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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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给出了布尔群代数半群中的幂等元、极大子群和正则元的结构以及幂等元和正则元的个数。

The structure of the idempotent elements, regular elements and maximal subgroups and the number of the idempotent elements and regular elements in Boolean group algebra are given.

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