Climent Vidal, Juan; Soliveres Tur, Juan On many-sorted algebraic closure operators. (English) Zbl 1038.08001 Math. Nachr. 266, 81-84 (2004). A well-known theorem of Birkhoff-Frink states that every algebraic closure operator can be realized as the subalgebra operator of an appropriate algebra. However, for many-sorted algebras (i.e. indexed families of sets) an analogous theorem is not longer true. The main theorem of the paper asserts that the corresponding many-sorted closure operators are precisely the uniform algebraic operators. Reviewer: Radomír Halaš (Prostejov) Cited in 1 ReviewCited in 4 Documents MSC: 08A30 Subalgebras, congruence relations 06A15 Galois correspondences, closure operators (in relation to ordered sets) Keywords:Many-sorted algebra; support; many-sorted uniform algebraic closure operator PDF BibTeX XML Cite \textit{J. Climent Vidal} and \textit{J. Soliveres Tur}, Math. Nachr. 266, 81--84 (2004; Zbl 1038.08001) Full Text: DOI Link OpenURL