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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 stimulatingExpand
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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 andExpand
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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
Basic notions modules over associative algebras torsion theories and prime modules tensor products local-global techniques radicals of algebra modules for separable and biregular algebra. Expand
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FINITE QUASI-FROBENIUS MODULES AND LINEAR CODES
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
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Dual coalgebras of algebras over commutative rings
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 overExpand
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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,Expand
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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 wellExpand
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Algebras Versus Coalgebras
  • R. Wisbauer
  • Mathematics, Computer Science
  • Appl. Categorical Struct.
  • 1 April 2008
TLDR
A survey of algebras and coalgebraic constructions in the language of categories and functors. Expand
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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 vectorExpand
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MONADS AND COMONADS ON MODULE CATEGORIES
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
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