共查询到19条相似文献,搜索用时 62 毫秒
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Hopf代数的扭曲余积和H^R型Hopf代数 总被引:1,自引:0,他引:1
本文引进了Hopf代数的扭曲余积,推广了广义偶交叉积,使得一般的右Smash余积也是这里的特殊情况,讨论了H^R型Hopf代数与扭曲余积的关系。 相似文献
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设 $A$ 是正则乘子Hopf代数, $R$ 是 $A$-\!\!双余模代数,
首先定义了 $A$-\!\!双余模双代数, 并利用它构造了 L-R Smash 积的对偶形式,
即 $R\otimes A$ 上一种非平凡的乘子Hopf代数结构,
称之为 L-R Smash余积.
然后给出了 L-R Smash余积上的积分和$*$-\!\!结构. 相似文献
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本文引入两个概念,即,关于拟三角双代数的cylinder余代数和cylinder余积,并指出存在一个反余代数同构:(H,■)≌(H,■),其中(H,■)是cylinder余积,(H,■)是辫余积,对任意有限维Hopf代数H,我们证明Drinfel'd量子偶(D(H),■_(D(H)))是cylinder余积.设(H,H,R)是余配对Hopf代数,如果R∈Z(H■H),则通过两次扭曲,我们可以构造扭曲余代数(H~■)R~(-1),它的余乘法恰是cylinder余积.而且对任意的广义Long重模,通过cylinder扭曲,我们可以构造Yang-Baxter方程,四辫对和Long方程. 相似文献
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赵文正 《数学物理学报(A辑)》2007,(1)
该文定义了(f,τ)-相容Hopf代数对(B,H),利用这样的对(B,H),给出了左H-余模范畴HM的一个辫子张量子范畴,从而得到一个量子Yang-Baxter算子,并且通过扭曲Hopf代数B的乘法,构造出Yetter-Drinfeld范畴中H HYD的Hopf代数. 相似文献
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赵文正 《数学物理学报(A辑)》2007,27(1):155-165
该文定义了(f,τ) -相容Hopf代数对(B,H),利用这样的对(B,H),给出了左H -余模范畴HM的一个辫子张量子范畴,从而得到一个量子Yang-Baxter算子,并且通过扭曲Hopf代数$B$的乘法,构造出Yetter-Drinfeld范畴中HHYD的Hopf代数. 相似文献
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本文在学习[1,2]之后,首先给出了扭曲余积关于量子余交换的一个重要性质;在学习[3]之后,又证明了广义相关Hopf模的对偶模仍是广义相关Hopf模,从而推广了[3]中的相关结论. 相似文献
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扭曲的自对偶Hopf代数 总被引:2,自引:1,他引:1
从两种重要的结构crossed积代数和扭曲Smash余积余代数出发,构造了一类新的Hopf代数R(?)K#_σH,并讨论它成为自对偶Hopf代数的条件. 相似文献
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本文研究了在Hom-Hopf代数上引入Hom-弱Hopf代数的问题.利用建立弱左H-Hom-余模双代数的方法,获得了Hom-smash余积的代数结构,并证明了Hom-smash余积是Hom-余代数和Hom-弱Hopf代数,推广了由Molnar定义的smash余积Hopf代数. 相似文献
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本文得到了$S(\Omega,\Sigma,\mu)$和$L^\beta(\Omega,\Sigma,\mu)$分别不存在非零的上半连续、次加、$\alpha$-正齐性泛函(分别有本文得到了$S(\Omega,\Sigma,\mu)$和$L^\beta(\Omega,\Sigma,\mu)$分别不存在非零的上半连续、次加、$\alpha$-正齐性泛函(分别有本文得到了$S(\Omega,\Sigma,\mu)$和$L^\beta(\Omega,\Sigma,\mu)$分别不存在非零的上半连续、次加、$\alpha$-正齐性泛函(分别有本文得到了S(Ω,∑,μ)与L^β(Ω,∑,μ)分别不存在非零的上半连续、次加、α-正齐性泛函(分别有0≤α≤1和β〈α≤1)的充要条件. 相似文献
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本文定义了(f,T)-相容对(B,H),利用这样的相容对可以给出一个辫子张量 范畴和一个量子Yang-Baxter方程的解,并且通过扭曲Hopf代数B的乘法,构造 Yetter-Drinfeld范畴中HHyD的Hopf代数. 相似文献
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In this paper we define higher order (F,α,β,ρ,d,E)-convex function with respect to E-differentiable function K and obtain optimality conditions for nonlinear programming problem (NP) from the concept of higher order (F,α,β,ρ,d)-convexity. Here, we establish Mond-Weir and Wolfe duality for (NP) and utilize these duality in nonlinear fractional programming problem. 相似文献
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The concepts of interval valued (∈,∈ ∨q)-fuzzy Boolean, MV - and G- filters in a MTL-algebra are introduced. The properties of these generalized fuzzy filters are studied and in particular, the relationships between these fuzzy filters in an MTL-algebra are investigated. 相似文献
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In this paper,we introduce a class of generalized second order(F,α,ρ,d,p)-univex functions.Two types of second order dual models are considered for a minimax fractional programming problem and the duality results are established by using the assumptions on the functions involved. 相似文献
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An L(d0,d2,...,dt)-labeling of a graph G is a function f from its vertex set V(G) to the set {0,1,..., k} for some positive integer k such that If(x) - f(y)l ≥di, if the distance between vertices x and y in G is equal to i for i = 1,2,...,t. The L(d1,d2,...,dt)-number λ(G;d1,d2,... ,dt) of G is the smallest integer number k such that G has an L(d1,d2,...,dr)- labeling with max{f (x)|x ∈ V(G)} = k. In this paper, we obtain the exact values for λ(Cn; 2, 2, 1) and λ(Cn; 3, 2, 1), and present lower and upper bounds for λ(Cn; 2,..., 2, 1,..., 1) 相似文献
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In this paper, we introduce and study a new system of variational inclusions involving (H, η)-monotone operators in Banach space. Using the resolveut operator associated with (H, η)- monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the iterative sequence generated by the algorithm. 相似文献
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$(d,k)$控制数是用来刻画容错网络中资源共享可靠性的一个新参数. 本文证明:$n\, (n\geq 3)$维无向超环面网$C(3,3,\ldots,3)$的$(n,2n)$控制数为 $3$. 相似文献
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In the present paper, the interval-valued (∈,∈∨q)-fuzzy LI-ideal theory in lattice implication algebras is further studied. Some new properties of interval-valued (∈,∈∨q)-fuzzy LI-ideals are given. Representation theorem of interval-valued (∈,∈∨q)-fuzzy LI-ideal which is generated by an interval-valued fuzzy set is established. It is proved that the set consisting of all interval-valued (∈,∈∨q)-fuzzy LI-ideals in a lattice implication algebra, under the partial order ?, forms a complete distributive lattice. 相似文献