R. Wisbauer

Publications119
h-index19
Citations2,717
Highly Influential Citations203
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Foundations of module and ring theory
This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating…
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Corings and Comodules
Preface Notations 1. Coalgebras and comodules 2. Bialgebras and hopf algebras 3. Corings and comodules 4. Corings and extensions of rings 5. Corings and entwining structures 6. Weak corings and…
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Modules and algebras - bimodule structure on group actions on algebras
  • R. Wisbauer
  • Mathematics
    Pitman monographs and surveys in pure and applied…
  • 1996
Basic notions modules over associative algebras torsion theories and prime modules tensor products local-global techniques radicals of algebras modules for algebras separable and biregular algebras…
MONADS AND COMONADS ON MODULE CATEGORIES
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On Coprime Modules and Comodules
Many observations about coalgebras were inspired by comparable situations for algebras. Despite the prominent role of prime algebras, the theory of a corresponding notion for coalgebras was not well…
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Bimonads and Hopf monads on categories
The purpose of this paper is to develop a theory of bimonads and Hopf monads on arbitrary categories thus providing the possibility to transfer the essentials of the theory of Hopf algebras in vector…
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On Galois Comodules
Generalizing the notion of Galois corings, Galois comodules were introduced as comodules P over an A-coring 𝒞 for which P A is finitely generated and projective and the evaluation map μ𝒞:Hom 𝒞 (P,…
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Dual coalgebras of algebras over commutative rings
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Weak Corings
Entwined structures (A,C, ψ) were introduced by Brzeziński and Majid to study the interdependence of an R-algebra A and an R-coalgebra C, R a commutative ring. It turned out that this relationship…
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Ikeda-Nakayama modules.
Let SMR be an (S,R)-bimodule and denote lS(A) = {s ∈ S : sA = 0} for any submodule A of MR. Extending the notion of an Ikeda-Nakayama ring, we investigate the condition lS(A ∩ B) = lS(A) + lS(B) for…
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