4 papers · 1 filter
Ivo G. Rosenberg's Work on Maximal Clones and Minimal Clones
Agnes Szendrei
The aim of this paper is to honor Ivo G. Rosenberg by describing some of his most influential results and their impact in logic, discrete mathematics, algebra, and computer science…
Minimal abelian varieties of algebras, I
Keith A. Kearnes, Emil W. Kiss, Agnes Szendrei
We show that any abelian variety that is not affine has a nontrivial strongly abelian subvariety. In later papers in this sequence we apply this result to the study of minimal abel…
Algebras from Congruences
Peter Mayr, Agnes Szendrei
We present a functorial construction which, starting from a congruence of finite index in an algebra A, yields a new algebra C with the following properties: the congruence lat…
Random Models of Idempotent Linear Maltsev Conditions. I. Idemprimality
Clifford Bergman, Agnes Szendrei
We extend a well-known theorem of Murski\vı to the probability space of finite models of a system of identities of a strong idempotent linear Maltsev condition. We ch…