Preliminaries and Summary

  • Leonid PositselskiEmail author
  • Sergey Arkhipov
  • Dmitriy Rumynin
Part of the Monografie Matematyczne book series (MONOGRAFIE, volume 70)


This chapter contains some known results and some results deemed to be new, but no proofs. Its goal is to prepare the reader for the more technically involved constructions of the main body of the monograph (where the proofs are given). In particular, we do not have to worry about nonassociativity of the cotensor product and partial definition of the semitensor product here, distinguish between the myriad of notions of absolute/relative coflatness/coprojectivity/injectivity of comodules and analogously for contramodules, etc., because we only consider coalgebras over fields.


Module Category Natural Isomorphism Tensor Category Total Complex Forgetful Functor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • Leonid Positselski
    • 1
    Email author
  • Sergey Arkhipov
    • 2
  • Dmitriy Rumynin
    • 3
  1. 1.Sector of Algebra and Number TheoryInstitute for Information Transmission ProblemsMoscowRussia
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada
  3. 3.Mathematics DepartmentUniversity of WarwickCoventryUK

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