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1)  S-regular semigroup
S-正则半群
1.
In this paper,the S-regular semigroup is defined the necessity and sufficentconditions for a regular semigroup being S-regular are given, the properties of S-regularsemigroups are discussed and the fact that a strong semilattice of regular semigroups havingS-set is a strong S-semilattice of S-regular semigroups is proved.
本文定义了S-正则半群,给出了一个正则半群是S-正则半群的充要条件,讨论了S-正则半群的性质,证明了有S-集的正则半群强半格是S-正则半群的强S-半格。
2)  strongly S-regular semigroup
强S-正则半群
3)  strong S-semilattice of S-regulat semigroups
S-正则半群的强S-半格
4)  regular semigroup
正则半群
1.
Certain subsemigroups of regular semigroups with an inverse transversal;
具有逆断面的正则半群的一些子半群
2.
Construction of regular semigroups with orthodox transversals;
具有纯正断面的正则半群的构造
3.
The natrual partial order on a regular semigroup with a Q-regular~*-transversal;
具有Q-正则~*-断面的正则半群的自然偏序
5)  regular *-semigroup
正则*-半群
1.
In this paper,a construction of all subdirect products of regular *-semigroups is obtained.
给出正则*-半群的子直积的构造。
2.
In this paper,the partial order on a regular *-semigroup is described and the sufficient and the necessary conditions for the natural partial order to be compatiable are given.
刻画正则*-半群上的偏序关系,给出自然偏序是相容的等价条件,最后讨论了正则*-半群的酉子集。
6)  Regular semigroups
正则半群
1.
Study on Abundant Semigroups and Fuzzy Regular Semigroups;
关于富足半群和模糊正则半群的研究
2.
Given a characteristic of regular semigroups which are compeItely regular.
本文给出一个么半群是正则半群的充要条件是:对任意本质左理想L与任意本质右理想R都有。
3.
This paper discusses the properties of the decomposition into regular union of right-inverse semigroups, inverse semigroups and regular semigroups.
本文讨论了右逆半群中Green关系关于正则并分解的性质,同时对于逆半群及一般的正则半群也进行了这方面的讨论,得到了较满意的结果。
补充资料:乘法半群


乘法半群
multiplicative semi - group

  乘法半群【md均声Cative胭川~g川叩;My脸,11~皿即no理厂pynoal 结合环(assoc通石Ven吧)的乘法半群,即该环的所有元素矣宇乘法形成的半群(~一gro叩).非结合环关于乘法仅形成广群(grouPoid),称为环的乘法广群(multiPlicati说grouPoid). O.A.地aH图a撰郭元春译牛凤文校
  
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