共查询到19条相似文献,搜索用时 62 毫秒
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主要讨论完备格的关系表示问题,分别建立了完全分配格的正则表示定理、超连续格的有限正则表示定理、λ-超连续格的λ-正则关系表示定理、区间拓扑T2完备格的广义有阴正则表示定理,给出了正则关系、完全分配格、超连续格、λ-超连续格、区间拓扑T2完备格的内蕴式刻划;给出了本文所建立的完备格的关系表示理论在Domain理论、格论和拓扑学中的若干应用. 相似文献
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完备剩余格中的全蕴涵推理方法 总被引:4,自引:0,他引:4
三I算法是王国俊教授提出的一种模糊推理方法,较之模糊控制理论中广泛采用的CRI 算法更具有严谨性、合理性.本文在完备剩余格中给出了模糊推理.RL-型全蕴涵α-MIFMP,α- MIFMT规则,并讨论了完备剩余格中的RL-型全蕴涵α-MI算法,得到了完备剩余格中RL-型全蕴涵α-MIFMP,α-MIFMT的计算公式,并将之应用于Godel逻辑系统,Lukasiewicz逻辑系统,Goguen逻辑系统和W-逻辑系统.特别是将结果应用于W-逻辑系统中得到了Ro-型全蕴涵α-三I算法计算公式,简化了原有的R0-型三I算法的证明. 相似文献
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孟道骥等对完备李代数作了系统的研究并已获得很多基本和重要的结果。本文给出完备李群与完备李代数的某些关系。 相似文献
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完备 wrpp 半群 总被引:1,自引:0,他引:1
张晓敏 《纯粹数学与应用数学》2007,23(2):214-220
研究一类 wrpp 半群,即完备 wrpp 半群,并给出完备 wrpp 半群的若干性质定理.特别地,得到完备 wrpp 半群的织积结构.作为织积的应用,我们证明完备 wrpp 半群是(R)-左消板的强半格.因此,唐向东关于 C-wrpp 半群的结果得到进一步发展. 相似文献
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A theory T of a language L is 1-model complete (nearly model complete) iff for every formula ρ of L there is a formula ? (χ) of L which is a ??-formula (a Boolean combination of universal formulas) such that T ? ?x [??θ]. The main results of the paper give characterizations of nearly model complete theories and of 1-model complete theories. As a consequence we obtain that a theory T is nearly model complete iff whenever ?? is a model of T and ???1??, then T ∪ Δ1?? is a complete L(A)-theory, where Δ1?? is the 1-diagram of ??. We also point out that our main results extend to (n + l)-model complete and nearly ra-model complete theories for all n > 0. 相似文献
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本文引入了代数的局部完备集,FS-局部dcpo,局部稳定映射等概念.主要结果是:以局部Scott连续映射为态射的代数的局部完备集范畴,以局部稳定映射为态射的代数的局部完备集范畴以及以局部Scott连续映射为态射的FS-局部dcpo范畴都是笛卡儿闭范畴. 相似文献
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In this paper join-independent and meet-independent sets in a complete lattice are defined. The relations between them are presented and substructures of a complete lattice induced by such sets are investigated. 相似文献
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Aiting Shen Mingxiang Xue Andrei Volodin 《Stochastics An International Journal of Probability and Stochastic Processes》2016,88(4):606-621
In this paper, the complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent (NSD, in short) random variables are investigated. Some sufficient conditions to prove the complete convergence and the complete moment convergence are presented. The results obtained in the paper generalize and improve some corresponding ones for independent random variables and negatively associated random variables. 相似文献
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We study complete cohomology of complexes with finite Gorenstein AC-projective dimension. We show first that the class of complexes admitting a complete level resolution is exactly the class of complexes with finite Gorenstein AC-projective dimension. This lets us give some general techniques for computing complete cohomology of complexes with finite Gorenstein AC-projective dimension. As a consequence, the classical relative cohomology for modules of finite Gorenstein AC-projective dimension is extended. Finally, the relationships between projective dimension and Gorenstein AC-projective dimension for complexes are given. 相似文献
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A. I. Kornev 《Siberian Mathematical Journal》2007,48(5):857-862
We continue studying the associative rings complete and reduced in the sense of Martynov. We prove that the group of invertible elements of a reduced associative ring is reduced. We compute the complete radical of a group ring over the ring of integers and the complete radical of the group algebra over an arbitrary algebra over a finite prime field. 相似文献
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Complete Convergence and Complete Moment Convergence for Maximal Weighted Sums of Extended Negatively Dependent Random Variables
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Ji Gao Yan 《数学学报(英文版)》2018,34(10):1501-1516
In this paper,the complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables are investigated.Some sufficient conditions for the convergence are provided.In addition,the Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of extended negatively dependent random variables is obtained.The results obtained in the article extend the corresponding ones for independent random variables and some dependent random variables. 相似文献
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Complete f-moment Convergence for Widely Orthant Dependent Random Variables and Its Application in Nonparametric Models
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In this paper, we study the complete f-moment convergence for widely orthant dependent (WOD, for short) random variables. A general result on complete f-moment convergence for arrays of rowwise WOD random variables is obtained. As applications, we present some new results on complete f-moment convergence for WOD random variables. We also give an application to nonparametric regression models based on WOD errors by using the complete convergence that we established. Finally, the choice of the fixed design points and the weight functions for the nearest neighbor estimator are proposed, and a numerical simulation is provided to verify the validity of the theoretical result. 相似文献
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近十年来,特别是近几年完备Lie代数的研究取得了许多进展,本文分以下六个方面介绍这一领域的研究状况,0)引言;1)完备Lie代数的分解和唯一性;2)一些完备Lie代数。3)可解完备Lie代数;4)完备Lie代数的极大环面子代数,Killing型及结构;5)一些公开问题。 相似文献