Journal or Book Title
Discussiones Mathematicae: Algebra and Stochastic Methods
A description of all varieties categorically equivalent to a fixed fi nitely generated variety of modes is provided. The characterization is in terms of a set of basic operation symbols and identities.
For the special case of semilattices, a one-to-one correspondence between the categorically equivalent varieties and the isomorphism types of finite posets is exhibited. Applications to rectangular and left-normal bands, and to affine modules are also discussed.
University of Zielona Góra
Bergman, Clifford and Berman, Joel, "Categorical equivalence of modes" (1999). Mathematics Publications. 224.