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1)  cylinder coalgebras
cylinder余代数
1.
This paper introduces the concepts of cylinder coalgebras and cylinder coproducts for quasitriangular bialgebras,and points out that there exists an anti-coaigebra isomorphism (H,■)■(H,■),where (H,■) is the cylinder coproduct,and (H,■) is the braided coproduct given by Kass.
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。
2)  cylinder coproducts
cylinder余积
1.
This paper introduces the concepts of cylinder coalgebras and cylinder coproducts for quasitriangular bialgebras,and points out that there exists an anti-coaigebra isomorphism (H,■)■(H,■),where (H,■) is the cylinder coproduct,and (H,■) is the braided coproduct given by Kass.
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。
3)  comodule coalgebra
余模余代数
1.
This paper introduces the conception of two-sided Hopf comodule coalgebras and mainly gives the Maschke theorem for two-sided H-comodule coalgebra.
引入了双边Hopf余模余代数概念,并证明了双边Hopf余模余代数的Maschke定理。
4)  coalgebra [kəu'ældʒibrə]
余代数
1.
Generalized Coassociative Law for Coalgebras and Comodules;
余代数和余模的广义余结合律
2.
Quasi-conoetherian Coalgebras;
拟余Noether余代数(英文)
5)  module coalgebra
模余代数
1.
Let L and A be Hopf algebras on field k with antipodes SL and SA,and let C be a right A-module coalgebra.
设L是域k上的Hopf代数,其对极为SL;A是Hopf代数,其对极为SA,令C是右A-模余代数,给出改进后的LLYD中(C,A)-Hopf模的基本结构定理,是一般Hopf模基本结构定理的推广。
2.
For k a commutative ring,A a k-bialgebra and D a right A-comodule k-algebra,we define a new comultiplication on the A-comodule D to obtain a “twisted coalgebra”D~τ,and give the sufficient and necessary conditions for D~τbeing a A-module coalgebra.
设k是交换环,A是k上的双代数,D是右A-模余代数,B是右A-余模代数。
3.
Let L and A be Hopf algebras on field k with antipodes s_L and s_A, B being a right A-comodule algebra, C a right A-module coalgebra.
设L是域k上的Hopf代数,其对极为sL;A是-Hopf代数,其对极为sA,B是右A余模代数,C是右A模余代数,给出LLYD中(A,B)Hopf模的定义以及LLYD中(A,B)-Hopf模的基本结构定理,并讨论了其对偶情况。
6)  comodule algebras
余模代数
1.
The convolution properties of right H-comodule algebras are studied in this paper with detailed discussions made on the sufficient and essential condition for r to be a twisting of Hopf algebras (H ,), and the effect of twisting on the structures of left H-module algebras and right H-comodule algebras A.
主要研究了右H-余模代数上的扭的卷积性质,对τ能够作成Hopf代数的扭的充分必要条件,以及扭作用对左H-模代数和右H-余模代数A的结构产生的影响进行了深入探讨。
补充资料:volumetric cylinder
分子式:
CAS号:

性质:用于量取—定液体体积的圆柱形玻璃量器,有5,10,20,50,100,200…(心)多种规格。最常用的是量出式,量入式的量筒带有磨口塞,为配制溶液而用,但精度比容量瓶低。该量器不耐热。

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