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Title: Morita equivalence of many-sorted algebraic theories
Authors: Adámek, Jirí 
Sobral, Manuela 
Sousa, Lurdes 
Issue Date: 2006
Citation: Journal of Algebra. 297:2 (2006) 361-371
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 are obtained as idempotent modifications of . 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.
DOI: 10.4064/cm-55-1-11-17
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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