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- Publications
- Influence
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… Expand
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… Expand
Modules and algebras - bimodule structure on group actions on algebras
- R. Wisbauer
- Mathematics, Computer Science
- Pitman monographs and surveys in pure and applied…
- 1996
TLDR
- 107
- 9
FINITE QUASI-FROBENIUS MODULES AND LINEAR CODES
- M. Greferath, A. Nechaev, R. Wisbauer
- Mathematics
- 1 September 2004
The theory of linear codes over finite fields has been extended by A. Nechaev to codes over quasi-Frobenius modules over commutative rings, and by J. Wood to codes over (not necessarily commutative)… Expand
Dual coalgebras of algebras over commutative rings
- J. Abuhlail, J. Gómez-Torrecillas, R. Wisbauer
- Mathematics
- 25 October 2000
Abstract In the study of algebraic groups the representative functions related to monoid algebras over fields provide an important tool which also yields the finite dual coalgebra of any algebra over… Expand
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,… Expand
On Coprime Modules and Comodules
- I. 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… Expand
Algebras Versus Coalgebras
- R. Wisbauer
- Mathematics, Computer Science
- Appl. Categorical Struct.
- 1 April 2008
TLDR
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… Expand
MONADS AND COMONADS ON MODULE CATEGORIES
- G. Bòhm, T. Brzezinski, R. Wisbauer
- Mathematics
- 9 April 2008
Let A be a ring and MA the category of right A-modules. It is well known in module theory that any A-bimodule B is an A-ring if and only if the functor −⊗AB:MA→MA is a monad (or triple). Similarly,… Expand