共查询到20条相似文献,搜索用时 15 毫秒
1.
Yu Qun CHEN Yun FAN Zhi Feng HAO 《数学学报(英文版)》2005,21(4):893-898
We characterize the lattice of all ideals of a Morita ring (semigroup) when the corresponding pair of rings (semigroups) in the Morita context are Morita equivalent s-unital (like-unitv) rings (semigroups). 相似文献
2.
This paper determines all commutative zero divisor semigroups whose zero divisor graph is a complete graph (finite or infinite),
or a complete graph (finite or infinite) with one additional end vertex, and gives formulas for the numbers of all such semigroups
with n elements.
The research of T. Wu is supported by the National Natural Science Foundation of China (Grant No. 10671122) and the Natural
Science Foundation of Shanghai (Grant No. 06ZR14049). 相似文献
3.
具有弱正规幂等元的富足半群的结构 总被引:7,自引:1,他引:6
本文研究含弱正规幂等元的富足半群.在给出这类半群的若干特征后,建立了具有弱正规幂等元的富足半群的结构.作为应用,给出具有正规幂等元的富足半群和具有(弱)正规幂等元的拟适当半群的结构. 相似文献
4.
本文首先研究了具有可消模断面的拟恰当半群的结构,然后给出了用可消模断面的拟恰当半群构造具有CO-恰当断面富足半群的方法. 相似文献
5.
The so-called split IC quasi-adequate semigroups are in the class of idempotent-connected quasi-adequate semigroups. It is
proved that an IC quasi-adequate semigroup is split if and only if it has an adequate transversal. The structure of such semigroup
whose band of idempotents is regular will be particularly investigated. Our obtained results enrich those results given by
McAlister and Blyth on split orthodox semigroups. 相似文献
6.
In this paper,we investigate a class of factorisable IC quasi-adequate semigroups,so-called,factorisable IC quasi-adequate semigroups of type-(H,I).Some characterizations of factorisable IC quasi-adequate semigroups of type-(H,I) are obtained.In particular,we prove that any IC quasi-adequate semigroup has a factorisable IC quasi-adequate subsemigroups of type-(H,I) and a band of cancellative monoids. 相似文献
7.
Jehan Al-Bar 《代数通讯》2013,41(7):2309-2324
We consider adequate transversals of abundant semigroups and prove that, in a particular case, there is a natural embedding of an inverse transversal within a certain regular subsemigroup. We also introduce the concepts of simplistic, perfect, and quasi-adequate transversal and provide a number of interesting connections between these. 相似文献
8.
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 semigroups in the class of abundant semigroups, we introduce the U-orthodox semigroups. It is shown that the maximum congruence μ contained in
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 W
U
and a V-ample semigroup (T,V). This theorem not only generalizes a known result of Hall-Yamada for orthodox semigroups but also generalizes another known
result of El-Qallali and Fountain for type W semigroups.
This work was supported by National Natural Science Foundation of China (Grant No. 10671151) and Natural Science Foundation
of Shaanxi Province (Grant No. SJ08A06), and partially by UGC (HK) (Grant No. 2160123) 相似文献
9.
A semigroup is complex if it generates a variety the subvariety lattice of which contains an isomorphic copy of every finite
lattice. It is known that a complex semigroup has at least four elements and that up to isomorphism and anti-isomorphism,
there are four complex semigroups of order four. Subvarieties of the varieties generated by two of these four minimal complex
semigroups have previously been described. To complete the study, we describe subvarieties of the varieties generated by the
remaining two semigroups.
This research was partially supported by the National Natural Science Foundation of China (No.10571077) and the Natural Science
Foundation of Gansu Province (No.3ZS052-A25-017) 相似文献
10.
Abundant Left C-lpp Proper Semigroups 总被引:2,自引:0,他引:2
Xiaojiang Guo 《Southeast Asian Bulletin of Mathematics》2000,24(1):41-50
The aim of this paper is to study a class of left abundant semigroups, so-called abundant left C-lpp proper semigroups including left type A proper semigroups and right inverse proper semigroups as its subclasses. A structure theorem similar to McAlisters for inverse proper semigroups is obtained. As its application, it is verified that any abundant left C-lpp proper semigroup can be embedded into a semidirect product of a left regular band by a cancellative monoid.AMS Subject Classification (1991): 20M10Suppoted by the Foundation of Yunnan University and also by the Director Foundation of Yunnan Province. 相似文献
11.
We study various notions of weak injectivity of acts over a Clifford semigroup. In addition we characterize weak self-injectivities
of several classes of Clifford semigroups constructed via particular kinds of groups and group homomorphisms.
Research of X. Zhang supported by the China Scholarship Council No. 2006101056.
Research of Y. Wang supported by National Natural Science Foundation of China Research Grant 10571181. 相似文献
12.
In this paper, some properties of good homomorphic images of abundant semigroups with a multiplicative quasi-adequate transversal
are obtained. After that, good congruences on a class of abundant semigroups with such transversals are studied. We characterize
the good congruences by using the so-called good congruence triple. Furthermore, we prove that any good congruence on a class
of abundant semigroups with such transversals can be constructed by the good congruence triple. 相似文献
13.
Yuanqu Lin 《中国科学A辑(英文版)》1998,41(6):613-621
The existence of a bounded global attractor for a cross-diffusion model of forest with homogeneous Dirichlet boundary condition
is proved under some condition on the parameters
Project supported by the National Natural Science Foundation of China (Grant No. 19671005). 相似文献
14.
We classify all the Weierstrass semigroups of a pair of points on a curve of genus 3, by using its canonical model in the plane. Moreover, we count the dimension of the moduli of curves which have a pair of points with a specified Weierstrass semigroup.This work has been supported by the Japan Society for the Promotion of Science and the Korea Science and Engineering Foundation (Project No. 976-0100-001-2). Also the first author is partially supported by Korea Research Foundation Grant (KRF-99-005-D00003). 相似文献
15.
16.
Using a construction theorem of cryptogroups and congruence methods, we determine an 18-element lattice, generated by {NOBG, ROBG, OBG, NBA, RBA, BA}, of subvarieties of completely regular semigroups.
This work was supported by the National Natural Science Foundation of China (Grant No. 10871161) and the Research Foundations
for Doctor Programme of Southwest University (Grant Nos. SWNUB2005020, SWNUB2008001) 相似文献
17.
Characterization theorems for abundant sernigroups having a quasi-ideal quasi-adequate transversal are obtained. Our results generalize and amplify the related results of Satio on regular semigroup obtained in 1985 and Kong obtained in 2007 respectively. Some recent results on this topic given by Guo-Shum are strengthened. In particular, the structure of such an abundant semigroup is described. 相似文献
18.
Limin Wang 《Southeast Asian Bulletin of Mathematics》2001,25(2):335-344
We characterize E-solid semigroups with inverse transversals and some special such semigroups in terms of congruences. Some properties of inverse congruences over completely simple semigroups are obtained.1991 MR Subject Classification: 20M10This work was supported by the Natural Science Foundation of Guangdong, China. 相似文献
19.
The structure of left C-rpp semigroups 总被引:21,自引:0,他引:21
This paper studies the class of left Clifford-rpp semigroups and investigates the structure of their semi-spined products
and semilattice decompositions. These semigroups are generalizations of left Clifford semigroups and Clifford-rpp semigroups.
We also discuss some special cases such as when a semilattice decomposition becomes a strong semilattice decomposition and
a semi-spined product becomes a spined product.
Communicated by Boris Schein
This research is jointly supported by a grant of National Natural Science Foundation of China and a small project grant #200.600.380
of CUHK. 相似文献