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math.LO2019
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…
math.LO2019
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…
math.LO2019
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…