共查询到20条相似文献,搜索用时 31 毫秒
1.
设Tn是集合Xn={1.2,….n}上的全变换半群.本文证明了Tn的每个极大逆子半群有群核。我们从一个群H一类和Tn的两类子半格,构造出两类新的Tn的极大逆子半群.其结果部分回答了Schein提出的特征Tn的极大逆子半群的公开问题. 相似文献
2.
3.
Ping Zhao 《Semigroup Forum》2009,79(2):377-384
We describe maximal idempotent-generated subsemigroups of finite singular orientation-preserving transformation semigroups
and completely obtain their classification.
This work is supported by N.S.F. and E.S.F. of Guizhou. 相似文献
4.
Abstract. We study the structure of the semigroup IO
n
of all order-preserving partial bijections on an n -element set. For this semigroup we describe maximal subsemigroups, maximal inverse subsemigroups, automorphisms and maximal
nilpotent subsemigroups. We also calculate the maximal cardinality for the nilpotent subsemigroups in IO
n
which happens to be given by the n -th Catalan number. 相似文献
5.
We study the structure of the semigroup IO n of all order-preserving partial bijections on an n-element set. For this semigroup we describe maximal subsemigroups, maximal inverse subsemigroups, automorphisms and maximal nilpotent subsemigroups. We also calculate the maximal cardinality for the nilpotent subsemigroups in IO n which happens to be given by the n-th Catalan number. 相似文献
6.
Let [n] = {1,2,…,n} be a finite set, ordered in the usual way. The order-preserving transformation semigroup On is the set of all order-preserving transformations of [n] (excluding the identity mapping) under composition. In this paper we first describe maximal idempotent-generated subsemigroups of O n, and show that On has 2n - 2 such subsemi-groups. Secondly, we investigate maximal regular subsemigroups of On , and obtain the number of such subsemigroups as 2n - 3. Thirdly, we describe maximal idempotent-generated regular subsemigroups of On , and also obtain their classification and number. 相似文献
7.
Locally maximal idempotent-generated subsemigroups of singular orientation-preserving transformation semigroups 总被引:1,自引:1,他引:0
In this paper we study locally maximal idempotent-generated subsemigroups of finite singular orientation-preserving transformation
semigroups.
This work is supported by N.S.F. and E.S.F. of Guizhou. 相似文献
8.
We describe the maximal idempotent-generated subsemigroups of the finite singular semigroup Sing
n
on the finite set X
n
={1,2, \ldots,n} , and count the number of its maximal idempotent-generated subsemigroups.
October 21, 1999 相似文献
9.
Yi-Jia Tan 《Linear algebra and its applications》2011,435(9):2247-2258
In this paper, nilpotent subsemigroups in the matrix semigroup over a commutative antiring are discussed. Some basic properties and characterizations for the nilpotent subsemigroups are given, and some equivalent conditions for the matrix semigroup over a commutative antiring to have a maximal nilpotent subsemigroup are obtained. Also, the maximal nilpotent subsemigroups in the matrix semigroup are described. 相似文献
10.
V. O. Pekhterev 《Ukrainian Mathematical Journal》2009,61(9):1467-1474
We study the structure of the semigroup OT
n
, which is a unique (up to an isomorphism) R-section of the semigroup T
n
. For this semigroup, we describe Green relations, determine regular and nilpotent elements, describe maximal nilpotent subsemigroups,
and determine the unique irreducible system of generatrices and maximal subsemigroups. 相似文献
11.
设X_n={1,2,…,n}并赋予自然数序,OCK_n是X_n上的具有核连续的保序变换半群.将考虑OCK_n的理想OCK(n,r)={α∈OCK_n:|imα|≤r}(3≤r≤n-1),并得到了OCK(n,r)的极大子半群的完全分类. 相似文献
12.
Ping Zhao 《Semigroup Forum》2012,84(1):69-80
In this paper we describe the maximal idempotent-generated subsemigroups of the finite orientation-preserving singular partial
transformation semigroup SPOP
n
and obtain their complete classification. We also obtain a classification of the maximal idempotent-generated subsemigroups
of the finite order-preserving singular partial transformation semigroup POkn\mathit{PO}^{k}_{n} with respect to ≤
k
. 相似文献
13.
We characterize the maximal regular subsemigroups of the ideals of the semigroup of all order-preserving transformations as
well as of the semigroup of all order-preserving or order-reversing transformations on a finite ordered set. 相似文献
14.
We describe maximal regular subsemibands of the singular transformation
semigroup Singn on the set Xn = {1, 2, . . . n} and obtain their complete classification
We show that Singn has n(n + 1)/2 maximal regular subsemibands,
and formulate the cardinal number of such subsemigroups. 相似文献
15.
N. V. Selezneva 《Ukrainian Mathematical Journal》2009,61(7):1158-1168
We study mathematical models of the structure of nilpotent subsemigroups of the semigroup PTD(B
n
) of partial contracting transformations of a Boolean, the semigroup TD(B
n
) of full contracting transformations of a Boolean, and the inverse semigroup ISD(B
n
) of contracting transformations of a Boolean. We propose a convenient graphical representation of the semigroups considered.
For each of these semigroups, the uniqueness of its maximal nilpotent subsemigroup is proved. For PTD(B
n
) and TD(B
n
) , the capacity of a maximal nilpotent subsemigroup is calculated. For ISD(B
n
), we construct estimates for the capacity of a maximal nilpotent subsemigroup and calculate this capacity for small n. For all indicated semigroups, we describe the structure of nilelements and maximal nilpotent subsemigroups of nilpotency
degree k and determine the number of elements and subsemigroups for some special cases. 相似文献
16.
In this paper we study locally maximal idempotent-generated subsemigroups of
finite singular order-preserving transformation semigroups. 相似文献
17.
Edmond W. H. Lee 《代数通讯》2013,41(1):323-334
Let R be a ring regarded as a multiplicative semigroup which contains no infinite subsemilattices. We investigate subsemigroups of R which are normal orthogroups, and present a construction from which all such maximal normal orthogroups can be obtained. In particular, we construct all maximal normal orthogroups of matrices over a field under matrix multiplication. Communicated by D. Easdown. 相似文献
18.
Alexei Vernitski 《Semigroup Forum》2009,78(3):486-497
We prove a number of results related to finite semigroups and their inverse subsemigroups, including the following. (1) A finite
semigroup is aperiodic if and only if it is a homomorphic image of a finite semigroup whose inverse subsemigroups are semilattices.
(2) A finite inverse semigroup can be represented by order-preserving mappings on a chain if and only if it is a semilattice.
Finally, we introduce the concept of pseudo-small quasivariety of finite semigroups, generalizing the concept of small variety. 相似文献
19.
In this paper we describe a portion of the subsemigroup lattice of the full transformation semigroup Ω Ω , which consists of all mappings on the countable infinite set Ω. Gavrilov showed that there are five maximal subsemigroups of Ω Ω containing the symmetric group \(\operatorname {Sym}(\varOmega )\) . The portion of the subsemigroup lattice of Ω Ω which we describe is that between the intersection of these five maximal subsemigroups and Ω Ω . We prove that there are only 38 subsemigroups in this interval, in contrast to the \(2^{2^{\aleph_{0}}}\) subsemigroups between \(\operatorname {Sym}(\varOmega )\) and Ω Ω . 相似文献
20.
研究了有限链上的部分保序变换半群PO_n.通过对其幂等元的分析,获得了PO_n的局部极大幂等元生成的子半群的结构与分类. 相似文献