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24 April 2024
 
  » arxiv » math.RA/0506291

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Galois Corings and a Jacobson-Bourbaki type Correspondence
J. Cuadra ; J. Gomez-Torrecillas ;
Date 15 Jun 2005
Subject Rings and Algebras | math.RA
AbstractThe Jacobson-Bourbaki Theorem for division rings was formulated in terms of corings by Sweedler in 1975. Finiteness conditions hypotheses are not required in this new approach. In this paper we extend Sweedler’s result to simple artinian rings using a particular class of corings, comatrix corings. A Jacobson-Bourbaki like correspondence for simple artinian rings is then obtained by duality.
Source arXiv, math.RA/0506291
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