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1.
Primož Moravec 《Semigroup Forum》2008,77(2):316-324
In this paper we find simple characterizations of completely simple semigroups with H-classes nilpotent of class ≤c, and of completely simple semigroups whose core has H-classes nilpotent of class ≤c. The notion of w-marginal completely regular semigroups is introduced, generalizing the concept of central semigroups. A law characterizing
[x
1,x
2,…,x
c+1]-marginal completely simple semigroups is obtained. Additionally, the least congruences corresponding to these classes are
described. Our results extend the corresponding results obtained by Petrich and Reilly in the abelian case.
The author was supported by the Ministry of Higher Education, Science and Technology of Slovenia. 相似文献
2.
Roman S. Gigoń 《代数通讯》2018,46(11):4884-4890
We show that an E-inversive semigroup S has a completely simple kernel KS if and only if it contains a primitive idempotent (in that case, KS is the set-theoretic union of the groups eSe, where e is a primitive idempotent of S). Along the way, some equivalent conditions for a semigroup to be E-inversive are given. Moreover, some applications of the above theorem will be pointed out. 相似文献
3.
Greg Budzban 《Journal of Theoretical Probability》1994,7(3):635-646
Given a sequence of probability measures (
n
) on a finite abelian semigroup, we present necessary and sufficient conditions which guarantee the weak convergence of the convolution products
k,n
k+1*···*
n
(k<n), asn for allk0. These conditions are verifiable in the sense that they are based entirely on the individual measures in the sequence (
n
). 相似文献
4.
Let (t)t>0 be a convolution semigroup of probability measures on a measurable group (G, ). In this paper, we provide precise information about the asymptotic behavior of t{q>s, whereq is a measurable seminorm and (t)t>0 isq-continuous. 相似文献
5.
Andreas Weber 《Journal of Mathematical Analysis and Applications》2009,351(2):603-1139
We study tensor products of strongly continuous semigroups on Banach spaces that satisfy the hypercyclicity criterion, the recurrent hypercyclicity criterion or are chaotic. 相似文献
6.
Artem N. Shevlyakov 《代数通讯》2017,45(9):3757-3767
A semigroup S is called an equational domain if any finite union of algebraic sets over S is algebraic. We give some necessary and su?cient conditions for a completely simple semigroup to be an equational domain. 相似文献
7.
We construct a new class of semigroups of completely positive maps on which can be decomposed into an infinite tensor product of such semigroups. Under suitable hypotheses, the minimal dilations
of these semigroups to E
0-semigroups are pure, and have no normal invariant states. Concrete examples are discussed in some detail. 相似文献
8.
We show that for a large class of connected Lie groups G, viz. from classC described below, given a probability measure μ on G and a natural number n, for any sequence {νi} of th convolution roots of μ there exists a sequence {zi} of elements of G, centralising the support of μ, and such that is relatively compact; thus the set of roots is relatively compact ‘modulo’ the conjugation action of the centraliser of suppμ. We also analyse the dependence of the sequence {zi} on n. The results yield a simpler and more transparent proof of the embedding theorem for infinitely divisible probability measures on the Lie groups as above, proved in [S.G. Dani, M. McCrudden, Embeddability of infinitely divisible distributions on linear Lie groups, Invent. Math. 110 (1992) 237-261]. 相似文献
9.
A semigroup S is called a Clifford semigroup if it is completely regular and inverse. In this paper, some relations related to the least
Clifford semigroup congruences on completely regular semigroups are characterized. We give the relation between Y and ξ on completely regular semigroups and get that Y
* is contained in the least Clifford congruence on completely regular semigroups generally. Further, we consider the relation
Y
*, Y, ν and ε on completely simple semigroups and completely regular semigroups.
This work is supported by Leading Academic Discipline Project of Shanghai Normal University, Project Number: DZL803 and General
Scientific Research Project of Shanghai Normal University, No. SK200707. 相似文献
10.
Two types of conditions have been significant when considering the convergence of convolution products of nonidentical probability measures on groups and semigroups. The essential points of a sequence of measures have been useful in characterizing the supports of the limit measures. Also, enough mass eventually on an idempotent has proven sufficient for convergence in a number of structures. In this paper, both of these types of conditions are analyzed in the context of discrete non-abelian semigroups. In addition, an application to the convergence of nonhomogeneous Markov chains is given. 相似文献
11.
SHUM Kar Ping 《中国科学A辑(英文版)》2009,(2)
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 ... 相似文献
12.
13.
单的非负有序关联半群 总被引:1,自引:0,他引:1
曾庆怡 《纯粹数学与应用数学》2011,27(1):75-80
一个负有序关联半群(S,≤,.,*)称为单的关联半群,如果S的所有滤子是{1}和S本身.对负有序关联半群是单的关联半群进行了刻画,给出了一个负的关联半群是单的关联半群的等价条件. 相似文献
14.
Benjamin Steinberg 《Semigroup Forum》2008,76(3):584-586
We prove the pseudovariety generated by power semigroups of completely simple semigroups is the semidirect product of the
pseudovariety of block groups with the pseudovariety of right zero semigroups, and hence is decidable. This answers a question
of Almeida from over 15 years ago.
The author was supported in part by NSERC. 相似文献
15.
Mario Petrich 《代数通讯》2017,45(11):4588-4604
Let 𝒞? denotes the variety of completely regular semigroups considered with the unary operation of inversion. The global study of the lattice of subvarieties of 𝒞? depends heavily on various decompositions. Some of the most fruitful among these are induced by the kernel and the trace relations. In their turn, these relations are induced by the kernel and the trace relations on the lattice of congruences on regular semigroups. These latter admit the concepts of kernel and trace of a congruence. The kernel and the trace relations for congruences were transferred to kernel and trace relations on varieties but the kernel and trace got no analogue for varieties.We supply here the kernel and the trace of a variety which induce the relations of their namesake. For the local and core relations, we also define the local and core of a variety. All the new concepts are certain subclasses of 𝒞?. In this way, we achieve considerable similarity of the new concepts with those for congruences. We also correct errors in two published papers. 相似文献
16.
Bella V. Rozenblat 《Israel Journal of Mathematics》2002,128(1):355-379
The connections between first-order formulas over a completely simple semigroupC and corresponding formulas over its structure groupH are found in this paper. For the case of finite sandwich-matrix the criterion of decidability of the elementary theoryT(C) is established in terms of the elementary theory ofH in the enriched signature (Theorem 1). For the general case the criterion is established in terms of two-sorted algebraic
systems (Theorem 2). Sufficient conditions in terms ofH for decidability and for undecidability ofT(C) are outlined. Corollaries and examples are presented, among them an example of a completely simple semigroup with a finite
structure group and with undecidable elementary theory (Theorem 3). 相似文献
17.
18.
Franz Kinzl 《Semigroup Forum》1980,20(1):369-383
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