正规Ehresmann型wrpp半群

众所周知,Clifford半群是正则半群类中的一类重要半群,本文定义正规 Ehresmann型wrpp半群,它是Clifford半群在wrpp半群类中的推广,给出了此类半群的若干刻划.     

左C—wrpp半群的左交错积结构

本文研究左C-wrpp半群的左交错积结构.利用半群的左交错积,获得了任意左C-wrpp半群都可用左正则带和R-左消幺半群的强半格的左交错积来构造的结构,并给出了具有左交错积结构的左C-wrpp半群的一些性质.     

逆半群的基本矩形带的同余完备性

本文讨论了逆半群的基本矩形带上的完备同余，就若干特殊情形给出了这类半群是完备的充分必要条件。     

关于rpp半群的fuzzy同余注记

半群S称为rpp半群,若它的所有L~*类都含幂等元.rpp半群S称为C-rpp半群,若它的幂等元集含于S的中心.这里利用半群上fuzzy同余的概念,引入了rpp半群上fuzzy左好同余的定义并得到了它的一些性质,给出了此类半群的刻画,并对具有某种特性的rpp半群(如强rpp半群和完备rpp)作了讨论.最后,得到了一类rpp半群为完备rpp半群的充要条件.以上结论是对Fountain关于rpp半群研究结果的推广和补充.     

PI-强Lρ-富足半群的构造

S为半群,如果S中的每个Lρ-类都含幂等元,称S为Lρ-富足半群．特别地,如果对任意的α∈S,集合Iα∩Lα^ρ都只含唯一的元素,称S为强Lρ-富足半群．在S上通过一个非恒等置换σ,给出了PI-强Lρ-富足半群的结构定理．     

左C-wrpp 半群的左$\Delta$-积

We study another structure of so-called left C-wrpp semigroups. In particular, the concept of left △-product is extended and enriched. The aim of this paper is to give a construction of left C-wrpp semigroups by a left regular band and a strong semilattice of left-R cancellative monoids. Properties of left C-wrpp semigroups endowed with left △-products are particularly investigated.     

正规纯正左消幺半群并半群上的(*,~)-好同余(英文)

本文利用(*,~)-好同余对刻画了正规纯正左消幺半群并半群上的(*,~)-好同余.此结果将正则半群中有关正规纯正群并半群上同余的相关结论推广到了r-wide半群中.     

两类完备的正则半群

本文考察了两类完备的正则半群,确定了这两类半群的结构.     

拟-C半群的结构

本文研究了拟-C半群的结构.利用拟直积的方法,证明了半群S是拟-C半群,当且仅当S是左正规带,Clifford半群和右正规带的拟直积,推广了Clifford半群.     

具有逆断面的左半正规纯正半群

左半正规纯正半群是幂等元集形成左半正规带的纯正半群．本文讨论了具有逆断面的左半正规纯正半群上的一些性质；给出该类半群的一个构造定理。     

On left C-wrpp semigroups

It is known that a C–rpp semigroup can be described as a strong semilattice of left cancellative monoids. In this paper, we introduce the class of left C–wrpp semigroups which includes the class of left C–rpp semigroups as a subclass. We shall particularly show that the semi-spined product of a left regular band and a C–wrpp semigroup forms a curler which is a left C–wrpp semigroup and vice versa. Results obtained by Fountain and Tang on C–rpp semigroups are extended and strengthened.     

On U-orthodox semigroups

As a generalization of an orthodox semigroup in the class of regular semigroups, a type W semigroup was first investigated by El-Qallali and Fountain. As an analogy of the type W semi-groups in the class of abundant semigroups, we introduce the U-orthodox semigroups. It is shown that the maximum congruence μ contained in HU on U-orthodox semigroups can be determined. As a consequence, we show that a U-orthodox semigroup S can be expressed by the spined product of a Hall semigroup WU and a V-ample semigroup ...     

Pseudo-C-rpp semigroups

The aim of this paper is to study a class of right pp semigroups, so-called pseudo-C- rpp semigroups. After obtaining some characterizations of pseudo-C-rpp semigroups, we establish a construction of such semigroups in terms of left normal bands and right C-rpp semigroups. In particular, a special case is considered.     

超富足半群及其子类

借助半群的Malcev积和公理化条件,对超富足半群及其子类进行了刻画,给出了超富足半群及其子类的若干特征.     

The Translational Hull of Strongly Inverse Wrpp Semigroups

In this paper,we obtain some characterizations of the translational hull of strongly inverse wrpp semigroups.And we prove that the translational hull of a strongly inverse wrpp semigroup is still of the same type.     

正规密码H~#-富足半群的结构

证明了H~#-富足半群S是正规密码H~#-富足半群当且仅当它是完全J~#-单半群的强半格.该结果也是正规密码超富足半群和正规密码群并半群分别在超富足半群和完全正则半群上的相应结构定理的推广.     

左$C$-Wrpp 半群的加细半格结构

本文研究了左$C$-wrpp半群的加细半格结构,证明了左$C$-wrpp半群是左-${\cal R}$可消带的加细半格当且仅当它是一个$C$-wrpp半群和一个左正则带的织积.     

Stability of Jensen functional equation on semigroups

In this paper we introduce a Jensen type functional equation on semigroups and study the Hyers-Ulam stability of this equation. It is proved that every semigroup can be embedded into a semigroup in which the Jensen equation is stable.