共查询到20条相似文献,搜索用时 796 毫秒
1.
O. Kada 《Proceedings of the American Mathematical Society》1999,127(10):3003-3011
We prove strong mean convergence theorems and the existence of ergodic projection and retraction for commutative semigroups of operators which is Eberlein-weakly almost periodic.
2.
设C为Hilbert空间H的非空子集,G为一个交换半群.文中定义了G上渐近殆非扩张曲线“(·):G→C,证明了渐近殆非扩张曲线的强遍历收敛定理.应用于半群,得到了在失去凸性的情况下,渐近非扩张型半群的殆轨道的强遍历收敛定理.推广和改进了以前所有的结果。 相似文献
3.
New precedence results are obtained for semigroups with zero, which describe the first non-zero row in detail and provide effective comparisons with subsequent rows. These results are used to further sharpen existing algorithms for the computation of finite commutative semigroups, confirm the number of distinct commutative semigroups of order 9, and determine the number of distinct commutative semigroups of order 10. 相似文献
4.
K.D. Aucoin 《Semigroup Forum》1999,58(2):175-189
In this paper, we will characterize commutative semigroups which have the ideal extension property (IEP). This characterization describes the multiplicative structure of commutative semigroups with IEP. Establishing this characterization was motivated not only by an interest in IEP itself, but also by the fact that in the category of commutative semigroups, the congruence extension property (CEP) implies IEP. A few preliminary results which hold in the general (non-commutative) case are discussed below. Following these initial observations, all semigroups considered are commutative. 相似文献
6.
Pierre Antoine Grillet 《Semigroup Forum》1996,53(1):140-154
Precedence results are used to improve existing algorithms for the enumeration of finite commutative semigroups. As an application
11,545,843 distinct commutative semigroups of order 9 were found. 相似文献
7.
Pierre Antoine Grillet 《Semigroup Forum》1972,4(1):242-247
All finitely generated commutative semigroups which do not have proper finite subdirect decompositions are determined. This
yields subdirect decompositions of finitely generated commutative semigroups and some idea of their structure. 相似文献
8.
9.
We introduce the concept of presentation for subsemigroups of finitely generated commutative semigroups, which extends the
concept of presentation for finitely generated commutative semigroups. We show that for every subsemigroup of a finitely generated
commutative semigroup there are special presentations which solve the word problem in the given subsemigroup. Some properties
like being cancellative, reduced and/or torsion free are studied under this new point of view.
This paper was supported by the project DGES PB96-1424. 相似文献
10.
本文引入弱交换po-半群的概论2,研究这类半群到Archimedean子半群的半格分解,得到了这半群类似于具平凡序的弱交换半群的一个特征,由此在更一般的情形下回答了Kehayopulu在「1」中提出的一个问题,并作为推论得到弱交换poe-半群和具平凡序的弱交换半群的已知结果。 相似文献
11.
All commutative nilsemigroups are constructed from congruences on free commutative semigroups. 相似文献
12.
关于弱交换po-半群 总被引:4,自引:0,他引:4
在本文中我们引入弱交换po-半群的概念,并研究这类半群到其Archimedes子半群的半格分解,给出了这类半群类似于无序半群相应结果的一个刻画。作为推论,我们得到弱交换poe-群和无序半群的相应刻画。 相似文献
13.
首先分别给出单生矩阵半群或者摹群不可约、不可分解以及完全可约的充分必要条件,其次讨论一般域上矩阵半群的可约性的一些条件,最后特别地讨论实数域上矩阵半群的可约性,完全确定了实数域上对称和反对称矩阵组成的不可约交换矩阵半群. 相似文献
14.
We study the semigroups isomorphic to principal ideals of finitely generated commutative monoids. We define the concept of finite presentation for this kind of semigroups. Furthermore, we show how to obtain information on these semigroups from their presentations. 相似文献
15.
We investigate certain semigroup varieties formed by nilpotent extensions of
orthodox normal bands of commutative periodic groups. Such semigroups are shown
to be both structurally periodic and structurally commutative, and are therefore
structurally inverse semigroups. Such semigroups are also shown to be dense
semilattices of structurally group semigroups. Making use of these structure
decompositions, we prove that the subvariety lattice of any variety comprised of
such semigroups is isomorphic to the direct product of the following three
sublattices: its sublattice of all structurally trivial semigroup varieties, its
sublattice of all semilattice varieties, and its sublattice of all group
varieties. We conclude, therefore, that to completely describe this lattice, we
must first describe completely the lattice of all structurally trivial semigroup
varieties, since the other two are well known lattices. 相似文献
16.
Takayuki Tamura 《Semigroup Forum》1970,1(1):75-83
A commutative semigroup is called power joined if for every element a, b there are positive integers m, n such that am=bn. A commutative power joined semigroup is archimedean (p. 131, [3]) and cannot be decomposed into the disjoint union of more
than one subsemigroup. Every commutative semigroup is uniquely decomposed into the disjoint union of power joined subsemigroups
which are called the power joined components. This paper determines the structure of commutative archimedean semigroups which
have a finite number of power joined components. The number of power joined components of commutative archimedean semigroups
is one or three or infinity.
The research for this paper was supported in part by NSF Grant GP-11964. 相似文献
17.
18.
We construct all non-equivalent semigroups of order 8, obtain their total number, and specify commutative semigroups, regular
semigroups and inverse semigroups among them. And we present their classification with respect to the equivalences of the
Green’s relations, that is, egg-box types with information about the positions of idempotent elements in them. 相似文献
19.
20.
Andrzej Kisielewicz 《Transactions of the American Mathematical Society》2004,356(9):3483-3504
In this paper we study first-order definability in the lattice of equational theories of commutative semigroups. In a series of papers, J. Jezek, solving problems posed by A. Tarski and R. McKenzie, has proved, in particular, that each equational theory is first-order definable in the lattice of equational theories of a given type, up to automorphism, and that such lattices have no automorphisms besides the obvious syntactically defined ones (with exceptions for special unary types). He has proved also that the most important classes of theories of a given type are so definable. In a later paper, Jezek and McKenzie have ``almost proved" the same facts for the lattice of equational theories of semigroups. There were good reasons to believe that the same can be proved for the lattice of equational theories of commutative semigroups. In this paper, however, we show that the case of commutative semigroups is different.