共查询到19条相似文献,搜索用时 78 毫秒
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N(2,2,0)代数中平移变换的象与逆象 总被引:11,自引:0,他引:11
作为可约化半群的推广,引入了半群左(右)可约化的概念,讨论了N(2,2,0)代数中三类平移变换的象、逆象的代数结构. 相似文献
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刻画了弱(D)-反演半群S(P)上满足P-trμN=πN的最大的强(D)-同余;给出了S(P)上的特征核正规系的一种抽象刻画. 相似文献
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李旭东 《纯粹数学与应用数学》2011,27(1):123-128
为了深入研究N(2,2,0)代数的代数结构,首先利用代数的推理方法进一步研究了N(2,2,0)代数的稳定化子,改进了以前学者的部分结果,然后利用稳定化子建立了一种同余关系,给出了N(2,2,0)代数的同余分解,证明了其商代数仍是N(2,2,0)代数,并获得了自然同态下一类逆像的代数结构和性质. 相似文献
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王丰效 《数学的实践与认识》2016,(20):229-232
为了深入研究N(2,2,0)代数的代数结构,在N(2,2,0)代数中引入了T模糊子代数和T模糊理想的概念,进一步讨论了它们的性质.分别给出了N(2,2,0)代数的模糊子代数和模糊理想与子代数和理想的关系.证明了N(2,2,0)代数的两个T模糊子代数的模交也是T模糊子代数,而N(2,2,0)代数的两个T模糊理想的模交也是T模糊理想. 相似文献
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在N(2,2,0)代数中定义了 Ω-犹豫模糊关联理想,研究Ω-犹豫模糊关联理想的性质以及等价刻画,得到了 Ω-犹豫模糊关联理想的交与并的不变性的结论,讨论了 Ω-犹豫模糊关联理想与犹豫模糊关联理想的关系. 相似文献
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Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial n-place functions are presented. Representations of Menger (2, n)-semigroups by partial n-place functions closed with respect to these relations are investigated. 相似文献
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D(β)-vertex-distinguishing total coloring of graphs 总被引:1,自引:0,他引:1
Zhang Zhongfu Li Jingwen Chen Xiangen Yao Bing Wang Wenjie Qiu Pengxiang 《中国科学A辑(英文版)》2006,49(10):1430-1440
A new concept of the D(β)-vertex-distinguishing total coloring of graphs, i.e., the proper total coloring such that any two vertices whose distance
is not larger than β have different color sets, where the color set of a vertex is the set composed of all colors of the vertex and the edges
incident to it, is proposed in this paper. The D(2)-vertex-distinguishing total colorings of some special graphs are discussed, meanwhile, a conjecture and an open problem
are presented. 相似文献
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Xiao Hong Fu 《数学学报(英文版)》2008,24(9):1475-1482
This paper considers the isometric extension problem concerning the mapping from the unit sphere S
1(E) of the normed space E into the unit sphere S
1(l
∞(Γ)). We find a condition under which an isometry from S
1(E) into S
1(l
∞(Γ)) can be linearly and isometrically extended to the whole space. Since l
∞(Γ) is universal with respect to isometry for normed spaces, isometric extension problems on a class of normed spaces are
solved. More precisely, if E and F are two normed spaces, and if V
0: S
1(E) → S
1(F) is a surjective isometry, where c
00(Γ) ⊆ F ⊆ l
∞(Γ), then V
0 can be extended to be an isometric operator defined on the whole space.
This work is supported by Natural Science Foundation of Guangdong Province, China (Grant No. 7300614) 相似文献
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该文得到了两个同类的E_((2))型空间单位球面间等距线性算子的表现定理,这是首次在非具体范数的情形下取得此类结果. 相似文献
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Liang-yun Zhang 《Siberian Mathematical Journal》2006,47(4):767-778
Given an (H,R)-Lie coalgebra Γ, we construct (H,R T )-Lie coalgebra ΓT through a right cocycle T, where (H,R) is a triangular Hopf algebra, and prove that there exists a bijection between the set of (H,R)-Lie coalgebras and the set of ordinary Lie coalgebras. We also show that if (L, [, ], Δ, R) is an (H,R)-Lie bialgebra of an ordinary Lie algebra then (L T , [, ], ΔT, R T ) is an (H,R T )-Lie bialgebra of an ordinary Lie algebra. 相似文献
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设H1和H2是两个Hilbert空间, B(H1,H2)表示从H1到H2的所有有界线性算子的集合, T和S分别是H1和H2的两个闭子空间. 如果存在线性算子X ∈ B(H2,H1)满足XAX=X, R(X)=T, N(X)=S,则称X为线性算子$A$的具有指定像空间T和零空间S的外逆,记为A(2)T,S. 该文进一步研究了线性算子广义逆A(2)T,S存在的若干等价条件及其性质,建立了算子广义逆A(2)T,S的表示形式. 相似文献
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《K-Theory》2005,35(3-4):375-394
We discuss the local index formula of Connes–Moscovici for the isospectral noncommutative geometry that we have recently constructed
on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula.
(Received: January 2005) 相似文献
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Bin He Qing Meng Weiguo Rui Yao Long 《Communications in Nonlinear Science & Numerical Simulation》2008,13(10):2114-2123
Using the method of planar dynamical systems to the mK(n, n) equation, the existence of uncountably infinite many smooth and non-smooth periodic wave solutions, solitary wave solutions and kink and anti-kink wave solutions is proved. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. All possible exact explicit parametric representations of smooth and non-smooth travelling wave solutions are obtain. 相似文献