Applied Categorical Structures

October 2004, Volume 12, Issue 5–6, pp 461–477 | Cite as

Facets of Descent III: Monadic Descent for Rings and Algebras

• Authors
• Authors and affiliations

• G. Janelidze
• W. Tholen

Article

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• 11 Citations

Abstract

We develop an elementary approach to the classical descent problems for modules and algebras, and their generalizations, based on the theory of monads.

monadic functor action of a monoidal category pure monomorphism effective descent morphism 

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© Kluwer Academic Publishers 2004

Authors and Affiliations

• G. Janelidze
  • 1
  • 2
• W. Tholen
  • 3

1. 1.Mathematical Institute of the Georgian Academy of SciencesTbilisiGeorgia
2. 2.Department of Mathematics and Applied MathematicsUniversity of Cape TownRondeboschSouth Africa
3. 3.Department of Mathematics and StatisticsYork UniversityTorontoCanada