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https://hdl.handle.net/10316/4616
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. | URI: | https://hdl.handle.net/10316/4616 | DOI: | 10.4064/cm-55-1-11-17 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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