Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Morita equivalence of many-sorted algebraic theories
Publication Date:	2004
Authors:	- Jirí Adámek - Manuela Sobral - Lurdes Sousa
Abstract:	Algebraic theories are called Morita equivalent provided that the corresponding categories of algebras are equivalent. Generalizing Dukarm's result from one-sorted theories to general algebraic theories, we prove that all theories Morita equivalent to a theory T are obtained as idempotent modifications of T. This is analogous to the classical result of Morita: all rings Morita equivalent to a ring R are obtained as idempotent modifications of matrix rings of R.
Institution:	DMUC 04-39
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