details
Author(s)
Jirí Adámek; Lurdes Sousa; Manuela Sobral;
Title Morita equivalence of manysorted algebraic theories
Abstract Algebraic theories are called Morita equivalent provided that the corresponding varieties of algebras are equivalent. Generalizing Dukarm's result from onesorted theories to manysorted ones, we prove that all theories Morita equivalent to an Ssorted 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) 361371
