期刊文献+
共找到274篇文章
< 1 2 14 >
每页显示 20 50 100
Morita context of weak Hopf group coalgebras
1
作者 郭双建 董丽红 王栓宏 《Journal of Southeast University(English Edition)》 EI CAS 2012年第3期372-374,共3页
The concept of weak Hopf group coalgebras is a natural generalization of the notions of both weak Hopf algebras(quantum groupoids) and Hopf group coalgebras.Let π be a group.The Morita context is considered in the ... The concept of weak Hopf group coalgebras is a natural generalization of the notions of both weak Hopf algebras(quantum groupoids) and Hopf group coalgebras.Let π be a group.The Morita context is considered in the sense of weak Hopf π-coalgebras.Let H be a finite type weak Hopf π-coalgebra,and A a weak right π-H-comodule algebra.It is constructed that a Morita context connects A#H* which is a weak smash product and the ring of coinvariants AcoH.This result is the generalization of that of Wang's in the paper "Morita contexts,π-Galois extensions for Hopf π-coalgebras" in 2006.Furthermore,the result is important for constructing weak π-Galois extensions. 展开更多
关键词 weak Hopf π-coalgebra Morita context weak π-H-comodule algebra weak smash product
下载PDF
TWISTED PRODUCTS AND SMASH PRODUCTS OVER WEAK HOPF ALGEBRAS 被引量:8
2
作者 张良云 陈惠香 李金其 《Acta Mathematica Scientia》 SCIE CSCD 2004年第2期247-258,共12页
This paper gives a sufficient and necessary condition for twisted products to be weak Hopf algebras, moreover, gives a description for smash products to be weak Hopf algebras. It respectively generalizes R.K.Molnar... This paper gives a sufficient and necessary condition for twisted products to be weak Hopf algebras, moreover, gives a description for smash products to be weak Hopf algebras. It respectively generalizes R.K.Molnar's major result and I.Boca's result. 展开更多
关键词 weak bialgebra weak Hopf algebra twisted product smash product
下载PDF
Twisting theory for weak Hopf algebras 被引量:1
3
作者 CHEN Ju-zhen ZHANG Yan WANG Shuan-hong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第1期91-100,共10页
The main aim of this paper is to study the twisting theory of weak Hopf algebras and give an equivalence between the (braided) monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf a... The main aim of this paper is to study the twisting theory of weak Hopf algebras and give an equivalence between the (braided) monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf algebra to generalize the result from Oeckl (2000). 展开更多
关键词 weak Hopf algebra weak Hopf bimodule twisting theory.
下载PDF
MORITA CONTEXT OF WEAK HOPF ALGEBRAS
4
作者 候波 张子龙 +1 位作者 蔡炳苓 李燕 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期1133-1141,共9页
Let H be a finite-dimensional weak Hopf algebra and A a left H-module algebra with its invariant subalgebra A^H.We prove that the smash product A#H is an A-ring with a grouplike character, and give a criterion for A#H... Let H be a finite-dimensional weak Hopf algebra and A a left H-module algebra with its invariant subalgebra A^H.We prove that the smash product A#H is an A-ring with a grouplike character, and give a criterion for A#H to be Frobenius over A. Using the theory of A-rings, we mainly construct a Morita context 〈A^H,A#H,A,A,τ,μ〉 connecting the smash product A#H and the invariant subalgebra A^H , which generalizes the corresponding results obtained by Cohen, Fischman and Montgomery. 展开更多
关键词 weak Hopf algebras A-rings morita context Frobenius extension
下载PDF
Nichols algebras over weak Hopf algebras
5
作者 WU Zhi-xiang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2018年第1期107-126,共20页
In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left H-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Dri... In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left H-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Drinfeld modules V, we construct Nichols algebra B(V) over the weak Hopf algebra H, and a series of weak Hopf algebras. Some results of [8] are generalized. 展开更多
关键词 quantum enveloping algebra Nichols algebra weak Hopf algebra
下载PDF
SYMMETRIES IN YETTER-DRINFELD CATEGORIES OVER WEAK HOPF ALGEBRAS
6
作者 高楠 《Acta Mathematica Scientia》 SCIE CSCD 2008年第4期870-876,共7页
This article is devoted to the study of the symmetry in the Yetter-Drinfeld category of a finite-dimensional weak Hopf algebra.It generalizes the corresponding results in Hopf algebras.
关键词 weak Hopf algebra Yetter-Drinfeld module SYMMETRY
下载PDF
CONSTRUCTING POINTED WEAK HOPF ALGEBRAS BY ORE-EXTENSION
7
作者 曹海军 李方 张棉棉 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期252-262,共11页
The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra from a Clifford monoid S =[Y; Gα. φα,β]by Ore-extensions, and to obtain a co-Frobenius semilat... The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra from a Clifford monoid S =[Y; Gα. φα,β]by Ore-extensions, and to obtain a co-Frobenius semilattice graded weak Hopf algebra H(S, n, c, x, a, b) through factoring At by a semilattice graded weak Hopf ideal. 展开更多
关键词 Semilattice graded weak Hopf algebra Clifford monoid Ore-extension
下载PDF
Cohomology of Weakly Reducible Maximal Triangular Algebras
8
作者 董浙 鲁世杰 《Northeastern Mathematical Journal》 CSCD 2000年第3期299-306,共8页
In this paper, we introduce the concept of weakly reducible maxi mal triangular algebras S*!which form a large class of maximal t riangular algebras. Let B be a weakly closed algebra containing S, we prove that the co... In this paper, we introduce the concept of weakly reducible maxi mal triangular algebras S*!which form a large class of maximal t riangular algebras. Let B be a weakly closed algebra containing S, we prove that the cohomology spaces Hn(S , B) ( n≥1) are trivial. 展开更多
关键词 weakly reducible maximal triangular algebra cohomology s pace
下载PDF
Mean Ergodic Theorems in Jordan Banach Weak Algebras
9
作者 Panagiotis N. Koumantos Panaiotis K. Pavlakos 《Journal of Mathematics and System Science》 2013年第3期146-149,共4页
The purpose of this paper is to study mean ergodic theorems concerning continuous or positive operators taking values in Jordan-Banach weak algebras and Jordan C*-algebras, making use the topological and order struct... The purpose of this paper is to study mean ergodic theorems concerning continuous or positive operators taking values in Jordan-Banach weak algebras and Jordan C*-algebras, making use the topological and order structures of the corresponding spaces. The results are obtained applying or extending previous classical results and methods of Ayupov, Carath6odory, Cohen, Eberlein, Kakutani and Yosida. Moreover, this results can be applied to continious or positive operators appearing in diffusion theory, quantum mechanics and quantum 13robabilitv theory. 展开更多
关键词 Jordan Banach weak algebras Krein spaces mean ergodic operators.
下载PDF
ON THE PRODUCT OF RIESZ ALGEBRAS AND REPRESENTATION
10
作者 熊洪允 陈荣胜 《Transactions of Tianjin University》 EI CAS 1998年第2期45-47,共3页
Let { E i∶i∈I } be a family of Archimedean Riesz algebras.The product of Riesz algebras is denoted by Π i∈I E i .The main result in this paper is the following conclusion:there ... Let { E i∶i∈I } be a family of Archimedean Riesz algebras.The product of Riesz algebras is denoted by Π i∈I E i .The main result in this paper is the following conclusion:there exists a completely regular Hausdorff space X such that Π i∈I E i is Riesz algebra isomorphic to C(X) if and only if for every i∈I there exists a completely regular Hausdorff space X i such that E i is Riesz algebra isomorphic to C(X i) . 展开更多
关键词 Riesz algebras PRODUCT REPRESENTATION weak unit element
下载PDF
ON THE MAXIMAL DISJOINT SYSTEM IN Riesz ALGEBRAS AND REPRESENTATION
11
作者 徐景峰 熊洪允 《Transactions of Tianjin University》 EI CAS 1999年第1期85-87,共3页
Let E be an Archimedean Riesz algebra possessing a weak unit element e and a maximal disjoint system {e,: i∈I} in which e, is a projection element for each i. The principal band generated by eiis denoted by B(ei). T... Let E be an Archimedean Riesz algebra possessing a weak unit element e and a maximal disjoint system {e,: i∈I} in which e, is a projection element for each i. The principal band generated by eiis denoted by B(ei). The main result in this paper says that if there exists a completely regular Hausdorff space X such that E is Riesz algebra isomorphic to C(X) then for every i ∈ I there exists a completely regular Hausdorff space X, such that B(ei) is Riesz algebra isomorphic to C(Xi). Under an additional condition the inverse holds. 展开更多
关键词 Riesz algebra maximal disjoint system REPRESENTATION projection element weak unit element
下载PDF
Weak Hopf Algebra in Yetter-Drinfeld Categories and Weak Biproducts 被引量:2
12
作者 赵文正 王彩虹 《Northeastern Mathematical Journal》 CSCD 2005年第4期492-502,共11页
The Yetter-Drinfeld category of the Hopf algebra over a field is a prebraided category. In this paper we prove this result for the weak Hopf algebra. We study the smash product and smash coproduct, weak biproducts in ... The Yetter-Drinfeld category of the Hopf algebra over a field is a prebraided category. In this paper we prove this result for the weak Hopf algebra. We study the smash product and smash coproduct, weak biproducts in the weak Hopf algebra over a field k. For a weak Hopf algebra A in left Yetter-Drinfeld category HHYD, we prove that the weak biproducts of A and H is a weak Hopf algebra. 展开更多
关键词 weak Hopf algebra weak biproduct Yetter-Drinfeld category
下载PDF
Common Fixed Point Theorems in Non-normal Cone Metric Spaces with Banach Algebras 被引量:2
13
作者 HUANG Hua-ping XU Shao-yuan +1 位作者 LIU Qiu-hua MING Wei 《Chinese Quarterly Journal of Mathematics》 2016年第2期155-161,共7页
In this paper, we obtain a class of common fixed point theorems for generalized Lipschitz mappings in cone metric spaces with Banach algebras without the assumption of normality of cones. The results greatly generaliz... In this paper, we obtain a class of common fixed point theorems for generalized Lipschitz mappings in cone metric spaces with Banach algebras without the assumption of normality of cones. The results greatly generalize some results in the literature. Moreover,we give an example to support the main assertions. 展开更多
关键词 cone metric space with Banach algebra generalized Lispchitz constant weakly compatible
下载PDF
Three Clifford Algebras for Four Kinds of Interactions 被引量:1
14
作者 Claude Daviau Jacques Bertrand 《Journal of Modern Physics》 2016年第9期936-951,共16页
Three Clifford algebras are sufficient to describe all interactions of modern physics: The Clifford algebra of the usual space is enough to describe all aspects of electromagnetism, including the quantum wave of the e... Three Clifford algebras are sufficient to describe all interactions of modern physics: The Clifford algebra of the usual space is enough to describe all aspects of electromagnetism, including the quantum wave of the electron. The Clifford algebra of space-time is enough for electro-weak interactions. To get the gauge group of the standard model, with electro-weak and strong interactions, a third algebra is sufficient, with only two more dimensions of space. The Clifford algebra of space allows us to include also gravitation. We discuss the advantages of our approach. 展开更多
关键词 GEOMETRY Invariance Group Dirac Equation Electromagnetism weak Interactions Strong Interactions Clifford algebras GRAVITATION
下载PDF
WEAKLY ALGEBRAIC REFLEXIVITY AND STRONGLY ALGEBRAIC REFLEXIVITY
15
作者 Tao Changli Lu Shijie Chen PeixinDept.ofAppl.Math.,ShandongUniv.ofSci.andTech.,Taian271019,China,Dept.ofMath.,ZhejiangUniv.,Hangzhou310027,China 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第2期193-198,共6页
Algebraic reflexivity introduced by Hadwin is related to linear interpolation.In this paper,the concepts of weakly algebraic reflexivity and strongly algebraic reflexivity which are also related to linear interpolat... Algebraic reflexivity introduced by Hadwin is related to linear interpolation.In this paper,the concepts of weakly algebraic reflexivity and strongly algebraic reflexivity which are also related to linear interpolation are introduced.Some properties of them are obtained and some relations between them revealed 展开更多
关键词 linear interpolation algebraic reflexivity weakly algebraic reflexivity strongly algebraic REFLEXIVITY surperreflexivity
下载PDF
Some properties of fuzzy positive implicative ideals in a BCK-algebras
16
作者 吴从炘 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2001年第2期168-172,共5页
In this paper, we use the notion of fuzzy point to study ideal and positive implicative ideal in BCK algebras, then we clarify the links between the fuzzy point approach, the classical fuzzy approach and the ordinary ... In this paper, we use the notion of fuzzy point to study ideal and positive implicative ideal in BCK algebras, then we clarify the links between the fuzzy point approach, the classical fuzzy approach and the ordinary case. 展开更多
关键词 BCK algebra fuzzy point fuzzy positive implicative ideal positive implicative weak ideal
下载PDF
Algebraic structure and Poisson method for a weakly nonholonomic system
17
作者 Fengxiang Mei and Huibin Wu~(a) Faculty of Science,Beijing Institute of Technology,Beijing 100081,China 《Theoretical & Applied Mechanics Letters》 CAS 2011年第2期73-75,共3页
The algebraic structure and the Poisson method for a weakly nonholonomic system are studied.The differential equations of motion of the system can be written in a contravariant algebra form and its algebraic structure... The algebraic structure and the Poisson method for a weakly nonholonomic system are studied.The differential equations of motion of the system can be written in a contravariant algebra form and its algebraic structure is discussed.The Poisson theory for the systems which possess Lie algebra structure is generalized to the weakly nonholonomic system.An example is given to illustrate the application of the result. 展开更多
关键词 weakly nonholonomic system algebraic structure Poisson method
下载PDF
Fuzzy Foldness of P-Ideals in BCI-Algebras
18
作者 Mahasin A. Ahmed 《Journal of Applied Mathematics and Physics》 2020年第10期2129-2141,共13页
This paper aims to introduce new notions of (fuzzy) n-fold P-ideals and (fuzzy) n-fold weak P-ideals in BCI-algebras, and investigate several properties of the foldness theory of P-ideals in BCI-algebras. Finally, we ... This paper aims to introduce new notions of (fuzzy) n-fold P-ideals and (fuzzy) n-fold weak P-ideals in BCI-algebras, and investigate several properties of the foldness theory of P-ideals in BCI-algebras. Finally, we construct a computer-program for studying the foldness theory of P-ideals in BCI-algebras. 展开更多
关键词 BCK/BCI algebras P-Ideals of BCI-algebras Fuzzy P-Ideal of BCI-algebra Fuzzypoint (Fuzzy) n-Fold P-Ideals (Fuzzy) n-Fold weak P-Ideals
下载PDF
Generalized Wave Operators in Von Neumann Algebras
19
作者 ZHAN Xiong-feng RUAN Yi-fei +1 位作者 HUANG He-nan-bei LI Qi-hui 《Chinese Quarterly Journal of Mathematics》 2022年第1期52-60,共9页
Let M⊆B(H)be a countable decomposable properly infinite von Neumann algebra with a faithful normal semifinite tracial weightτwhere B(H)is the set of all bounded linear operators on Hilbert space H.The main purpose of... Let M⊆B(H)be a countable decomposable properly infinite von Neumann algebra with a faithful normal semifinite tracial weightτwhere B(H)is the set of all bounded linear operators on Hilbert space H.The main purpose of this article is to introduce generalized weak wave operators Wf_(±),generalized weak abelian wave operators ■ and generalized stationary wave operators U_(±) in M and then to explore the relation among W_(±),■,U_(±) and generalized wave operators W_(±). 展开更多
关键词 Generalized wave operators Von Neumann algebras Generalized weak wave operators Generalized stationary wave operators
下载PDF
由弱H-Hopf模代数构造Rota-Baxter代数
20
作者 刘琳琳 《河南工学院学报》 CAS 2024年第1期35-37,共3页
给出弱H-Hopf模代数的定义及其构造定理,进而由弱H-Hopf模代数出发构造Rota-Baxter代数并提供具体的例子。
关键词 Rota-Baxter代数 弱HOPF代数 弱H-Hopf模代数
下载PDF
上一页 1 2 14 下一页 到第
使用帮助 返回顶部