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1.
给出了两个半群的半直积S×αT是π-纯正半群的充分必要条件,并得到了半直积S×αT是右强π-逆半群的充分必要条件.  相似文献   

2.
在半群不含单位元的情况下,给出了两个半群的半直积和圈积是左Clifford拟正则半群的充分必要条件.  相似文献   

3.
正则左S-系是von Neumann正则半群的自然推广,逆左S-系是逆半群的自然推广.作为左逆半群的自然推广,本文引入了L-逆左系的概念,并用来刻画了几类幺半群,如左逆幺半群,逆幺半群,adequate幺半群等.  相似文献   

4.
正则左S-系是von neumann正则半群的自然推广,逆左S-系是逆半群的自然扩广,作为左逆半群的自然推广,本文引入了L-逆左系的概念,并用来刻画了几类幺半群,如左逆幺半群,逆幺半群,adequate幺半群等。  相似文献   

5.
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。  相似文献   

6.
半群的半直积及其同余   总被引:2,自引:0,他引:2  
给出了两个幺半群的半直积是Cliford半群的充要条件及其结构.并讨论了逆半群半直积的Green关系、最小群同余和极大幂等元分离同余.  相似文献   

7.
幺半群的半直积及其同余   总被引:1,自引:0,他引:1  
给出了两个幺半群的半直积是Clifford半群的充要条件及其结构。并讨论了逆半群半直积的Green关系、最小群同余和极大幂等元分离同余。  相似文献   

8.
主要讨论了两类可换剩余幺半群的结构及其定定理,给出并证明了一些有关的等价条件和充分必要条件,然后证明了剩余运算满足消去律的充要条件。  相似文献   

9.
弱Clifford拟正则半群的半直积和圈积   总被引:7,自引:0,他引:7  
本文给出两个么半群S和T的半直积和圈积为弱Clifford拟正则么半群的充要条件和半直积的结构,同时还讨论了弱Clifford拟正则么半群的最小群同余与半直积的最小群同余之间的关系.  相似文献   

10.
张玉芬  李师正 《数学学报》1995,38(4):498-504
本文给出两个么半群S和T的半直积和圈积为弱Clifford拟正则么半群的充要条件和半直积的结构,同时还讨论了弱Clifford拟正则么半群的最小群同余与半直积的最小群同余之间的关系。  相似文献   

11.
本文研究了半群半直积的主投影性质.利用适当半群,获得了右主投影半群半直积的充分和必要条件,推广了半直积的一些结果.  相似文献   

12.
C-rpp半群的半直积   总被引:1,自引:1,他引:0  
给出了两个幺半群的半直积是C-rpp半群的充要条件及结构。  相似文献   

13.
研究了幺半群半直积上的同余,给出了幺半群半直积的所谓同余分解定理,并特别讨论了幺半群左正则纯整半直积及其子类上的同余.  相似文献   

14.
讨论了幂等元都是左中心元的rpp半群的半直积,给出了这种半群半直积的充要条件,推广了一些已知的结果.  相似文献   

15.
The semidirect product of two groups is an important construction in group theory. In this paper we define the semidirect product of fuzzy subgroups and give conditions for it to be a fuzzy subgroup. This extends the work of H. Sherwood on direct products of fuzzy subgroups. We then give an example where a fuzzy subgroup of a semidirect product is a semidirect product of fuzzy subgroups.  相似文献   

16.
In this paper we determine the necessary and sufficient conditions for the semidirect products and the wreath products of two monoids to be strongly -inverse. Furthermore, we determine the least group congruence on a strongly -inverse monoid, and we give some important isomorphism theorems.  相似文献   

17.
This paper shows that, for a pseudovariety V of monoids, V * D has decidable pointlikes if and only if V does. In the process, we develop a theory of pointlike sets for categories and a generalization of the Derived Category Theorem to understand how pointlike sets behave with respect to the semidirect product. This paper is intended to be the first of two papers concerning algorithmic problems for semidirect products of pseudovarieties.  相似文献   

18.
There exist two equivalent small categories associated to an inverse monoid which reflect its divisorial structure, called its D-categories. It is well known the relationship between the Green's relation D and the structure, of certain subsemigroups, of an inverse monoid. In this work, an analogous result is established between the Green's relation J and the D-categories of those subsemigroups. They are also given equivalent conditions for the equivalence of the D-categories of two inverse monoids and likewise equivalent conditions for the isomorphism of two inverse monoids in terms of its D-categories. It is proved that for many important classes of inverse monoids the multiplicative structure is determined by the associated category. On the contrary, a sufficient condition to obtain families of counterexamples to the above is provided and three examples are explicitely exhibited.  相似文献   

19.
An appropriate generalization of the notion of permissible sets of inverse semigroups is found within the class of weakly ample semigroups that allows us to introduce the notion of an almost left factorizable weakly ample semigroup in a way analogous to the inverse case. The class of almost left factorizable weakly ample semigroups is proved to coincide with the class of all (idempotent separating) (2, 1, 1)-homomorphic images of semigroups W(T, Y) where Y is a semilattice, T is a unipotent monoid acting on Y, and W(T, Y) is a well-defined subsemigroup in the respective semidirect product that appeared in the structure theory of left ample monoids more than ten years ago. Moreover, the semigroups W(T, Y) are characterized to be, up to isomorphism, just the proper and almost left factorizable weakly ample semigroups.  相似文献   

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