期刊文献+

余环的有理模和弱扭曲结构(英文)

RATIONAL MODULES FOR CORINGS AND WEAK ENTWINING STRUCTURE
下载PDF
导出
摘要 我们引入了对于弱扭曲结构的α-条件,研究了一个用弱扭曲结构构造的余环的稠密有理对,并把有理模的一些重要结果应用到了弱扭曲模范畴,推广了Jawad相应的结果. We first introduceα-condition for a weak entwining structure,and then investigate the dense rational pairing for a coring from a weak entwining structure. Also,some basic results of the theory of rational modules of corings are applied to the categories of weak entwined modules (in particular,Doi-Koppinen modules),general- izing the corresponding results of Jawad Y.Abuhail in 2003.
机构地区 东南大学数学系
出处 《南京大学学报(数学半年刊)》 CAS 2008年第2期158-167,共10页 Journal of Nanjing University(Mathematical Biquarterly)
关键词 有理模 弱扭曲结构 弱扭曲模 余环 rational module weak entwining structure weak entwined module coring
  • 相关文献

参考文献10

  • 1Tomasz Brzeziński.The Structure of Corings: Induction Functors, Maschke-Type Theorem, and Frobenius and Galois-Type Properties[J]. Algebras and Representation Theory . 2002 (4)
  • 2Guzman F.Cointegratin and Relative Cohomology for Comodules. . 1985
  • 3Abuhlail,J.Rational modules for corings. Communications in Algebra . 2003
  • 4B hm G,Nill F,Szlach nyi K.Weak Hopf Algebras I: Integral Theory and C*-structure. Journal of Algebra . 1999
  • 5Brzezinski T.The structure of corings:Induction functors,Maschke-Type theorem and Frobenius and Galois-Type proper-ties. Algebras and Representation theory . 2002
  • 6S. Caenepeel,E. de Groot.Modules over weak entwining structure. Contemporary Maths . 2000
  • 7Doi Y.Unifying Hopf Modules. Journal of Algebra . 1992
  • 8Koppinen M.Variations on the Smash Product with Applications to Group-graded Rings. Journal of Pure and Applied Algebra . 1995
  • 9Sweedler,M. Hopf Algebras . 1969
  • 10Sweedler M.The predual theorem to the Jacobson-Bourbaki theorem. Transactions of the American Mathematical Society . 1975

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部