共查询到17条相似文献,搜索用时 62 毫秒
1.
In this paper,the concept of right adequate transversals of rpp semigroups is introduced.We establish the structure of rpp semigroups with multiplicative right adequate transversals in terms of right normal bands and right adequate semigroups.In particular, some special cases are considered. 相似文献
2.
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. 相似文献
3.
In this paper,we introduce Lawson partial order ≤ w on wrpp semigroups.After obtaining some properties of ≤ w,we determine when ≤ w is(left;right) compatible with the multiplication.These results extend and enrich the related results of Lawson and GuoLuo on abundant semigroups,of Guo-Shum on rpp semigroups and of Liu-Guo on wrpp semigroups. 相似文献
4.
Kar Ping Shum 《中国科学A辑(英文版)》2004,47(4):552-565
We define orthodox super rpp semigroups and study their semilattice decompositions. Standard representation theorem of orthodox super rpp semigroups whose sub-band of idempotents is in the varieties of bands described by an identity with at most three variables are obtained. 相似文献
5.
In this paper,some properties of quasi-type δ semigroups with an adequate transversal are explored.In particular,abundant semigroups with a cancellative transversal are character-ized.Our results generalize and enrich Saito's results on quasi-orthodox semigroups with an inverse transversal. 相似文献
6.
Shou Feng WANG 《数学研究与评论》2011,31(6)
In this paper,some properties of quasi-type δ semigroups with an adequate transversal are explored.In particular,abundant semigroups with a cancellative transversal are characterized.Our results genera... 相似文献
7.
GV-semigroups are the generalizations of completely regular semigroups in the range ofπ-regular semigroups.In this paper,Green~*-relations on GV-semigroups and some congruences on it are studied. 相似文献
8.
The structure of superabundant semigroups 总被引:9,自引:0,他引:9
K.P.Shum 《中国科学A辑(英文版)》2004,47(5):756-771
A structure theorem for superabundant semigroups in terms of semilattices of normalized Rees matrix semigroups over some cancellative monoids is obtained. This result not only provides a construction method for superabundant semigroups but also generalizes the well-known result of Petrich on completely regular semigroups. Some results obtained by Fountain on abundant semigroups are also extended and strengthened. 相似文献
9.
曹六川 《数学物理学报(B辑英文版)》2006,26(2):246-254
This article introduces the concept of commutative semigroups of almost asymptotically nonexpansive-type mappings in a Banach space X which has the Opial property and whose norm is UKK, and establishes the weak convergence theorems for almost-orbits of this class of commutative semigroups. The author improves, extends and develops some recent and earlier results. 相似文献
10.
11.
We study a class of special strongly rpp semigroups, namely, the class of super rpp semigroups. These super rpp semigroups
are generalizations of both superabundant semigroups and Clifford semigroups within the class of rpp semigroups. In particular,
we prove that a super rpp semigroup is a semilattice of D
(l)-simple strongly rpp semigroups. Our result not only generalizes a well-known theorem of Clifford in the class of completely
regular semigroups but also strengthens some structure theorems obtained by Ren-Shum for superabundant semigroups which are
orthodox. Some special super rpp semigroups are considered and discussed. 相似文献
12.
The Structure of NBe—rpp Semigroups 总被引:2,自引:0,他引:2
§ 1.IntroductionandMainResults AsemigroupSiscalledanrppsemigroupifallprincipalrightidealsaS1(a∈S)ofS ,regardedasanS1 system ,areprojective (see,[1 ]and [2 ] ) .AsemigroupSisanrppsemigroupifandonlyifforalla∈S ,thesetMa ={e∈E S1a Seand ( x ,y∈S1)ax=ay ex=ey}isnonempty ,whereE … 相似文献
13.
14.
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. 相似文献
15.
Tang Xiangdong 《代数通讯》2013,41(5):1499-1504
In this paper, we define a class of semigroups called C—wrpp semigroups and prove that they are a generalization of C—rpp semigroups. Moreover, Theorem 3.1 generalizes immediately the structure theorem for Clifford semigroups [5] and the main result of J. B. Fountain [3]. 相似文献
16.
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
17.