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Foundations of module and ring theory
- R. Wisbauer
- Mathematics
- 5 September 1991
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…
Corings and Comodules
- T. Brzezinski, R. Wisbauer
- Mathematics
- 15 September 2003
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…
Modules and algebras - bimodule structure on group actions on algebras
- R. Wisbauer
- MathematicsPitman 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
- G. Bòhm, T. Brzezinski, R. Wisbauer
- Mathematics
- 9 April 2008
On Coprime Modules and Comodules
- I. E. Wijayanti, R. Wisbauer
- Mathematics
- 28 March 2009
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…
Bimonads and Hopf monads on categories
- B. Mesablishvili, R. Wisbauer
- Mathematics
- 5 October 2007
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…
On Galois Comodules
- R. Wisbauer
- Mathematics
- 18 August 2004
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,…
Dual coalgebras of algebras over commutative rings
- J. Abuhlail, J. Gómez-Torrecillas, R. Wisbauer
- Mathematics
- 25 October 2000
Weak Corings
- R. Wisbauer
- Mathematics
- 2001
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…
Ikeda-Nakayama modules.
- R. Wisbauer, Mohamed Yousif, Yiqiang Zhou
- Mathematics
- 2002
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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