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Then, some regular semigroups were constructed by using of weak antipodes of some weak Hopf algebras. 然后用某些弱 Hopf代数的弱对极构造正则半群 .
In this paper,(A,SA) and(H,SH) both are weak Hopf algebras on a field k. A is also an H-module algebra. (A,SA)和(H,SH)都是数域k上的弱Hopf代数,并且A是右H-余模代数。
Last, the role of weak antipodes in the structures of modules/ comodules over a weak Hopf algebra is presented. 最后给出的一些结果体现了弱对极在弱 Hopf代数上的模 /余模结构中的作用 .
In this paper,we prove that if H is a cocomutative finite dimensional weak Hopf alegbra and A is a commutative H-module algebra,A is integral over its invariant AH. 主要研究关于弱Hopf代数的模代数在其不变量上的积分;设H是余可换的有限维的弱Hopf代数;A是可换的左H-模代数;那么A是其不变量AH上的积分.
It generalizes the theories of Yetter-Drinfeld modules on Hopf algebras, and associates the weak Doi-Hopf modules , quantum Yetter-Drinfeld modules with relative weak Hopf modules. 它推广了Hopf代数上Yetter-Drinfeld模的一些理论,并给出了弱Doi-Hopf模,量子Yetter-Drinfeld模与相关弱Hopf模三者之间的关系。
A well-known example is weak Hopf algebra, which is introduced in [L2] for studying the non-invertible solution of Yang-Baxter Equation based on this class of bialgebras (in [L2] and [L6]). 在文献[L2]中，为了研究Yang-Baxter方程的非平凡解，作者引入了著名的弱Hopf代数的概念使得基于这一类双代数，能够给出Yang-Baxter方程的一个非平凡解。
semiquasitriangular weak Hopf algebra 半拟三角弱Hopf代数
Rushanan(1991) generalized them to duadic abelian codes and Zhu(1996) further generalized them to duadic group algebra codes. Rushanan(1991)把它推广到duadic阿贝尔码; 朱烈(1996)进一步推广到duadic群代数码.
This paper discussed group algebras of finite generated abelian groups, and determined their derivation algebras. 讨论了任意一个有限生成可换群的群代数,并确定其导子代数。
Integrality of Module Algebras over its Invariant over Weak Hopf Algebra 弱Hopf代数的模代数在其不变量上的积分
when $\dim B$ is even, $H$ is an extension of an abelian group algebra and a triangular Hopf algebra, and may not be triangular. 当%24B%24是偶数维时，%24H%24可以看成一个交换群代数和一个三角Hopf代数的扩张。
On Boolean Group Algebra Semigroup 关于布尔群代数半群
The spirit is willing but the flesh is weak. 心有余而力不足。
Semigroups of Boolean Group Algebra 布尔群代数夹心半群中的幂等元
finite dimensional group algebra 循环群代数
weak Hopf algebras 弱Hopf代数
Education should not be restricted to any one specific age group. 教育不应限制在任何特定的年龄组上。
The shock make me go all weak at the knee. 这件事把我吓得两腿发软。
weak Hopf algebra 弱Hopf代数
He broke away from that lawless group years ago. 他在几年前脱离了那个非法团体。