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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

1,049 83

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

262 35- PDF

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

59 4- PDF

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

28 4- PDF

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

36 4- PDF

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

27 4- PDF

Algebras Versus Coalgebras

- R. Wisbauer
- Mathematics, Computer Science
- Appl. Categorical Struct.
- 1 April 2008

TLDR

40 3- PDF

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

45 3- PDF

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

50 3- PDF