Categorical equivalence of some algebras

  • Oleg Košik Institute of Mathematics, University of Tartu, J. Liivi 2, 50409 Tartu, Estonia
Keywords: categorical equivalence, bands, semilattices, lattices

Abstract

We show that two lattices are categorically equivalent if and only if they are isomorphic or dually isomorphic. Two normal bands are categorically equivalent if and only if they are isomorphic or anti- isomorphic. The same result holds for finite bands as well. We also obtain corollaries for rectangular bands and semilattices.

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Published
2020-09-25
Section
Articles