共查询到20条相似文献,搜索用时 125 毫秒
1.
2.
3.
4.
Theorem. A mapping x** of X* into sealar field Φ is a linear functional if and only if there exists a μ∈ba(S) such that X**(X*)=∫sx*(s)μ(ds),x*∈X* Theorem. F∈ba(S.Σ)* if and only if there exists a λ∈ba (T) (T is the closed unit sphere of the space B(S,Σ))such that F(μ)=∫(∫st(s)μ(ds))λ(dt),μ∈ba(S,Σ). 相似文献
5.
本文主要研究模糊正则子半群的度量问题,利用模糊正则子半群度讨论了正则半群的模糊子集是模糊正则半群的程度。首先,文章通过[0,1]上的蕴含给出了模糊正则子半群度的定义。其次,利用正则半群模糊集的(强)水平集得到了模糊正则子半群度的等价刻画。最后,讨论了任意多个模糊子集的交、直积的模糊正则子半群度以及正则半群的模糊子集在同态映射下像与原像的模糊正则子半群度的性质。 相似文献
6.
7.
对于集合X上的任一非平凡等价关系E,本文考察了半群TE(x)上的同余C*(E),并证明了C*(E)是TE(X)的同余格的完全子格[C(E),Ca(E)]中的唯一原子. 相似文献
8.
It is proved that for each 2n×2n symplectic matrix S, there exists con-tinuous linear map Fs: S′(Rn)→S′(Rn), unique up to a constant factor, such that(?) Fs is called the generalized Fourier transformation. Some properties and applica-tions of Fs are obtained. In especial , the lower and upper boundedness of Fs in Hm(Rn) is proved and a new proof of L. Hormander Theorem is given. 相似文献
9.
设Fq2(n)是 Fq2上的 n 维行向量空间, Un( Fq2)是 Fq2上的 n 阶酉群. 设M(m, r; n)是Un(Fq2}作用下的一个子空间轨道, L(m, r; n)是 M (m, r; n)中子空间的和生成的集合.该文讨论了各个轨道生成的集合L(m, r; n)之间的包含关系, 给出了一个子空间是属于给定的由M(m, r; n)生成的集合L(m, r, n)中的一个元素的条件, 以及L}(m, r; n)做成几何格的条件. 相似文献
10.
作为模糊代数的一个研究领域,区间值模糊子半群对模糊子半群的研究至关重要.引入了半群的区间值反模糊子半群的概念,对区间值反模糊子半群的性质进行了研究.讨论了半群的区间值反模糊子半群关于并运算的封闭性质.最后给出了半群的区间值模糊子半群的同态像和原像的相关性质.相关的研究结果丰富了半群的模糊理论. 相似文献
11.
本文首先引入了一个序半群$S$的准素模糊理想的概念,通过序半群$S$上的一些二元关系以及它的理想的模糊根给出了该序半群是阿基米德序子半群的半格的一些刻画.进一步地借助于序半群$S$的模糊子集对该序半群是阿基米德序子半群的半格进行了刻画.尤其是通过序半群的模糊素根定理证明了序半群$S$是阿基米德序子半群的链当且仅当$S$是阿基米德序子半群的半格且$S$的所有弱完全素模糊理想关于模糊集的包含关系构成链. 相似文献
12.
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
13.
In this paper, we introduce the notion of fuzzy order filters in adjoint semigroups of BCK-algebras. We prove that there is a bijection between the fuzzy ideals of BCK-algebras X and the fuzzy order filters in the adjoint semigroup M(X) of X.AMS Subject Classification (2000) 06F35 03G25 20M10 相似文献
14.
15.
Melanija Mitrovic 《Semigroup Forum》2005,70(3):356-360
For a subsemigroup T of a semigroup S, we let Reg(T)
and reg(T) denote respectively the set of all regular elements of T
and the set of all elements of T which are regular in S. We characterize
semigroups with Reg(T)=reg(T), where T runs over one of the following
families of subsemigroups: {Se | e ∈ E(S)}, {eS | e ∈ E(S)},
{eSf | e,f ∈ E(S)}. 相似文献
16.
Nobuaki Kuroki 《Fuzzy Sets and Systems》1981,5(2):203-215
In this paper we give some properties of fuzzy ideals and fuzzy bi-ideals of semigroups, and characterize semigroups that are (left) duo, (left) simple and semilattices of subsemigroups in terms of fuzzy ideals and fuzzy bi-ideals. 相似文献
17.
Nicholas Baeth Vadim Ponomarenko Rene Ardila Audra Kosh Ryan Rosenbaum 《Linear algebra and its applications》2011,434(3):694-711
Unlike factorization theory of commutative semigroups which are well-studied, very little literature exists describing factorization properties in noncommutative semigroups. Perhaps the most ubiquitous noncommutative semigroups are semigroups of square matrices and this article investigates the factorization properties within certain subsemigroups of Mn(Z), the semigroup of n×n matrices with integer entries. Certain important invariants are calculated to give a sense of how unique or non-unique factorization is in each of these semigroups. 相似文献
18.
19.
Mohan S. Putcha 《Semigroup Forum》1971,3(1):51-57
In this paper we study commutative semigroups whose every homomorphic image in a group is a group. We find that for a commutative
semigroup S, this property is equivalent to S being a union of subsemigroups each of which either has a kernel or else is
isomorphic to one of a sequence T0, T1, T2, ... of explicitly given, countably infinite semigroups without idempotents. Moreover, if S is also finitely generated then
this property is equivalent to S having a kernel. 相似文献