Frobenius functors of the second kind

被引:13
作者
Caenepeel, S [1 ]
De Groot, E
Militaru, G
机构
[1] Free Univ Brussels, Fac Sci Appl, B-1050 Brussels, Belgium
[2] Univ Bucharest, Fac Math, RO-70109 Bucharest 1, Romania
关键词
D O I
10.1081/AGB-120015657
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A pair of adjoint functors (F, G) is called a Frobenius pair of the second type if G is a left adjoint of betaFalpha for some category equivalences alpha and beta. Frobenius ring extensions of the second kind provide examples of Frobenius pairs of the second kind. We study Frobenius pairs of the second kind between categories of modules, comodules, and comodules over a coring. We recover the result that a finitely generated projective Hopf algebra over a commutative ring is always a Frobenius extension of the second kind (cf.([27,17])), and prove that the integral spaces of the Hopf algebra and its dual are isomorphic.
引用
收藏
页码:5359 / 5391
页数:33
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