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1.
In this paper,we introduce the representation and cohomology theory of Lie-Yamaguti color algebras.Furthermore,we introduce the notions of generalized derivations of Lie-Yamaguti color algebras and present some properties.Finally,we study linear deformations of LieYamaguti color algebras,and introduce the notion of a Nijenhuis operator on a Lie-Yamaguti color algebra,which can generate a trivial deformation.  相似文献   

2.
Algebras and Representation Theory - We introduce the concept of a prime band in a string algebra Λ and use it to associate to Λ its finite bridge quiver. Then we introduce a new...  相似文献   

3.
In this paper we introduce the class of ordered homomorphism ideals and prove that these ideals admit minimal cellular resolutions constructed as homomorphism complexes. Motivated by work of Dochtermann and Engström, we introduce the class of cointerval simplicial complexes and investigate their combinatorial and topological properties. As a concrete illustration of these structural results, we introduce and study nonnesting monomial ideals, an interesting family of combinatorially defined ideals.  相似文献   

4.
We introduce and study new class of sets (almost L-limited sets). Also, we introduce new concept of property in Banach lattice (almost Gelfand–Phillips property) and we characterize this property using almost L-limited sets. On the other hand, we introduce the class of disjoint limited completely continuous operators which is a largest class than that of limited completely continuous operators, we characterize this class of operators and we study some of its properties.  相似文献   

5.
In this work, we introduce a Representation of continuous real-valued functions defined over a real Hilbert space. As a consequence, we can introduce a Sandwich Theorem for semi-continuous functions, a Separation Theorem for closed sets and a representation Theorem of lower semi-continuous functions.  相似文献   

6.
In this research, we develop and introduce a theoretical and mathematical forecasting framework of immigrant integration using immigrant density as a single driver. First, we introduce the integration concepts we aim at forecasting. Thereafter, we introduce a theoretical and mathematical model of the relationship between integration and immigrant density. Based on this model, we develop a methodological forecasting framework. We test the framework using immigrant integration data from Spain. We produce the forecasts, and conduct the proper evaluation of them. Finally, we conclude with a brief discussion of the wider implications of our results.  相似文献   

7.
In this paper, we introduce a method allowing us to choose the most suitable fuzzy implication in an inference system application. We introduce also a similarity measure, which we call degree of sameness of two fuzzy implications in an inference system application.  相似文献   

8.
基于超连续格的内蕴式刻画,引入HC-偏序集的概念,讨论了HC-偏序集的一些性质.类似地,作为超代数格的推广,引入了HA-偏序集并讨论其相关性质.  相似文献   

9.
郭双建  李怡铮 《数学学报》1936,63(6):661-674
本文介绍Hom-泊松双代数的概念,给出Hom-泊松代数的Manin三元组的等价性描述.其次引入上边缘Hom-泊松双代数的概念,从而构造出Hom-泊松杨巴克斯特方程的解.  相似文献   

10.
《数学学报》2015,(3):1-4
<正>Functional Inequalities in Non-Archimedean Normed Spaces Choonkil PARK Abstract In this paper,we introduce an additive functional inequality and a quadratic functional inequality in normed spaces,and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces.Furthermore,we introduce an additive functional inequality and a  相似文献   

11.
In this paper we will introduce a new type of incidence matrices, namely “Fuzzy incidence matrices”. Also we introduce the fuzzy simplicial complexes in its fuzzy form. We will describe some types of foldings especially the folding of a physical character.  相似文献   

12.
利用同余关系把粗糙集理论引入到半环里,给出了半环中的一个子集的上,下近似的概念,并研究了其一系列性质;另外我们还讨论了半环中的粗糙理想及性质.  相似文献   

13.
Elisabeth Köbis 《Optimization》2017,66(12):1991-2005
We introduce several variable order relations to compare sets in a linear topological space and we consider set optimization problems equipped with these variable ordering structures. By considering a set approach, we introduce characterizations for optimal solutions and we provide a kind of vectorization result to obtain solutions of set optimization problems equipped with the introduced variable order relations.  相似文献   

14.
The authors introduce the conception of stationary map-varifold pairs and prove a compactness result.As applications,they analyse the asymptotic structure of the pseudo tangent map of stationary harmonic maps.For stationary pair,they also get a strong convergence criterion about the map part and introduce the stratification of the singular set.  相似文献   

15.
In this paper we introduce the Favard operators of max-product type to study the uniform approximation of functions with exponential growth. We introduce a new suitable modulus of continuity and we estimate the rate of approximation in terms of this modulus. We obtain a better rate of approximation than the corresponding positive linear operators.  相似文献   

16.
《Optimization》2012,61(6):717-731
In this article, we introduce necessary and sufficient conditions for the tensor product of two convex functions to be convex. For our analysis we introduce the notions of true convexity, jet-convexity, true jet-convexity as well as true log-convexity. The links between jet-convex and log-convex functions are elaborated. As an algebraic tool, we introduce the jet product of two symmetric matrices and study some of its properties. We illustrate our results by an application from global optimization, where a convex underestimator for the tensor product of two functions is constructed as the tensor product of convex underestimators of the single functions.  相似文献   

17.
张建华  曹怀信 《数学学报》2004,47(1):119-124
本文引入了Banach代数上线性映射的Lie不变子空间,给出了因子VonNeumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一般形式,研究了Lie导子与Lie自同构的概念及了Lie导子与Lie自同构半群的关系.  相似文献   

18.
Currie  James D.  Visentin  Terry I. 《Order》2002,19(4):305-317
The authors introduce the notion of crown-like orders and introduce powerful tools for counting the endomorphisms of orders of this type.  相似文献   

19.
We introduce two new concepts designed for the study of empirical processes. First, we introduce a new Orlicz norm which we call the Bernstein–Orlicz norm. This new norm interpolates sub-Gaussian and sub-exponential tail behavior. In particular, we show how this norm can be used to simplify the derivation of deviation inequalities for suprema of collections of random variables. Secondly, we introduce chaining and generic chaining along a tree. These simplify the well-known concepts of chaining and generic chaining. The supremum of the empirical process is then studied as a special case. We show that chaining along a tree can be done using entropy with bracketing. Finally, we establish a deviation inequality for the empirical process for the unbounded case.  相似文献   

20.
Dirceu Bagio 《代数通讯》2013,41(10):3658-3678
In this article, we introduce the notion of a partial action of a groupoid on a ring as well as we give a criteria for the existence of a globalization of it. We construct a Morita context associated to a globalizable partial groupoid action, and we introduce the notion of a partial Galois extension, which is related to the strictness of this context.  相似文献   

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