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Co-Frobenius Hopf Algebras: Integrals, Doi–Koppinen Modules and Injective Objects

✍ Scribed by S Dăscălescu; C Năstăsescu; B Torrecillas

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 143 KB
Volume: 220
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7934

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✦ Synopsis

We investigate Hopf algebras with non-zero integral from a coalgebraic point of view. Categories of Doi-Koppinen modules are studied in the special case where the defining coalgebra is left and right semiperfect, and several pairs of adjoint functors are constructed. As applications we give a very short proof for the uniqueness of the integrals and provide information about injective objects in the category of Doi-Koppinen modules.