与结合代数缠绕有关的扭曲(英文)  

TWISTINGS OF THE ALGEBRA ASSOCIATED WITH ENTWININGS

作　　者：张艳[1] 陈菊珍[1] 王栓宏[1] 

机构地区：[1]东南大学数学系,南京210096

出　　处：《南京大学学报（数学半年刊）》2008年第1期17-24,共8页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Supported by the Specialized Research Fund for the Doctoral Program of Higher Education (20060286006);the FNS of CHINA(10571026)and the Southeast University Fund(XJ0707273).

摘　　要：设k为交换环,A为k-代数,C为k-余代数,本文在A上定义一个新的乘法,得到扭曲代数A~τ,τ∈Conv(C,End(A)).如果τ是卷积可逆的,(A,C,Ψ)上的右-右缠绕模范畴M-A^C(Ψ)同构于(A~τ,C,Ψ)上的右-右缠绕模范畴M_(A~τ)~C(Ψ).最后,作为例子本文研究了弱相关Hopf模的扭曲.For k a commutative ring,A a k-algebra,C a k-coalgebra,we define a new multiplication on A to obtain a'twisted algebra'A~τ,τ∈Conv(C,End(A)).Ifτis convolution invertible,the categories of right-right entwined modules over(A,C,Ψ) and(A~τ,C,Ψ)are isomorphic.Finally,we study the twistings associated with right weak relative Hopf modules as an example.

关 键 词：缠绕模 相关Hopf模 扭曲 

分 类 号：O153.3[理学—数学]