RELATIVE PROJECTIVITY AND RELATIVE INJECTIVITY IN THE CATEGORY OF DOI–HOPF MODULES

DOI10.1142/S0219498811005038zbMath1256.16019WikidataQ122947813 ScholiaQ122947813MaRDI QIDQ3117912

Thomas Guédénon

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Hopf algebrascomodulesMaschke functorrelative homological algebracoringsDoi-Hopf modulesrelative projectivityrelative injectivity

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (1)

Relative projectivity and relative injectivity in the category of Doi-Hopf modules. II

Cites Work

• Frobenius and separable functors for generalized module categories and nonlinear equations
• Unifying Hopf modules
• Crossed modules and Doi-Hopf modules
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Maschke functors, semisimple functors and separable functors of the second kind: applications
• On the structure of relative hopf modules

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