Algebra, Logic and Topology

 

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Author(s)
Jirí Adámek; Lurdes Sousa; Manuela Sobral;

Title
Morita equivalence of many-sorted algebraic theories

Abstract
Algebraic theories are called Morita equivalent provided that the corresponding varieties of algebras are equivalent. Generalizing Dukarm's result from one-sorted theories to many-sorted ones, we prove that all theories Morita equivalent to an S-sorted theory T are obtained as idempotent modifications of T. This is analogous to the classical result of Morita that all rings Morita equivalent to a ring R are obtained as idempotent modifications of matrix rings of R.

Journal
Journal of Algebra

Volume
297

Year
2006

Issue
2

Page(s)
361-371

 
     
 

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