Frobenius functors: applications

DOI10.1080/00927879908826735zbMath0949.16038OpenAlexW122007033MaRDI QIDQ4265554

José Gómez-Torrecillas, Florencio Castaño Iglesias, Constantin Năstăsescu

Publication date: 14 February 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826735

zbMATH Keywords

Grothendieck categoriescoalgebrascategories of modulescategories of comodulesGrothendieck groupsadjoint functorsDoi-Hopf modulesFrobenius pairs of functors

Mathematics Subject Classification ID

Related Items (20)

Quasi-Frobenius Functors. Applications ⋮ Frobenius bimodules between noncommutative spaces. ⋮ The bicategories of corings. ⋮ FROBENIUS FUNCTORS OF THE SECOND KIND ⋮ The logarithmic Cardy case: boundary states and annuli ⋮ Towers of Corings ⋮ EXTENDED DISTRIBUTIVE LAW: COWREATH OVER CORINGS ⋮ ON HOMOLOGICAL FROBENIUS COMPLEXES AND BIMODULES ⋮ Frobenius functors and Gorenstein homological properties ⋮ Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories ⋮ Strongly Rickart objects in abelian categories ⋮ When is the Diagonal Functor Frobenius? ⋮ Cohomology for Bicomodules. Separable and Maschke functors ⋮ Hereditary triangular matrix comonads ⋮ Calculus of Functorial Morphisms ⋮ Frobenius functors and Gorenstein flat dimensions ⋮ Quasi-Frobenius Corings and Quasi-Frobenius Extensions ⋮ Frobenius functors, stable equivalences and \(K\)-theory of Gorenstein projective modules ⋮ When ∏ is Isomorphic to ⊕ ⋮ Adjoint and Frobenius Pairs of Functors for Corings

Cites Work

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• Colby-Fuller duality between coalgebras
• Unifying Hopf modules
• Equivalence theorems and Hopf-Galois extensions
• Gradings of finite support. Application to injective objects
• Formal schemes over fields^∗
• Doi-Hopf modules, Yetter-Drinfel’d modules and Frobenius type properties

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