Hopf模代数与根理论(英文)Hopf Module Algebras and Radical Theory
王顶国
摘要(Abstract):
设H是一个Hopf代数,本文的目的是系统建立H—模代数的H—根理论。特别地,引入并研究了超幂零H—根、下H—根及特殊H—根,证明了Jacobson H—根是特殊H—根。本文可作为进一步研究Hopf模代数根理论的框架。
关键词(KeyWords): Hopf模代数;根理论;下H-根;特殊H-根
基金项目(Foundation): 国家自然科学基金
作者(Author): 王顶国
DOI: 10.16393/j.cnki.37-1436/z.1997.02.006
参考文献(References):
- [1] E.Abe. Hopf Aglebras, Cambridge University Press, Cambridge.
- [2] T.Anderson. K.Kaarli and R.Wiegandt Radicals and Subdirect Decomposition, Comm. in Algebra 1985; 13(2) : 479-494
- [3] M.Cohen and S.Westreich. Central Invariants of Hopf Algebras, Comm. in Algebra 1993; 21(8) : 2859-2883
- [4] J.R.Fisher A Jacobson Radical for Hopf Module Algebras,J. of Algebra 1975;34(2) : 217-231
- [5] L.Marki, R.Mlitz and R. Wiegandt, A General Kurosh-Amitsur Radical Theory,Comm. in Algebra 1988;16 (2) : 249-305
- [6] E.R.Puczylowski, On General Theory of Radicals,Algebra Universalis 1993; 30(1) : 53-60
- [7] A.V. Sidorov, Radicals of H-module Algebras, Algebra Logika.(Translated)1989; 28(6) : 462-474
- [8] A.V. Sidorov, The ADS Proeprty for H-radicals, Mat.Zametki 1992; 51(3) : 113-116
- [9] M.E. Sweedler, Hopf Algebras,Bemjamin, New York, 1969
- [10] F.A. Szasz, Radicals of rings,Wiley, Chichester, 1981
- [11] R.Wiegandt, Radical Theory of Rings, The Math. Student 1983; 51(1-4) : 145-185