Solution of the problem of directly decomposable homomorphisms
Tolerances on powers of a finite algebra
It is shown that any power , of a finite -element algebra , has factorable tolerances whenever the power has the same property.
Congruence restrictions on axes
We give Mal’cev conditions for varieties 4V4 whose congruences on the product , are determined by their restrictions on the axes in .
Relation products of congruences and factor congruences
Mal'cev conditions for directly decomposable compatible relations
Conditions for factorable relations
Coherence in varieties of algebras
Mal'cev conditions for congruence-regular and congruence-permutable varieties
Varieties of subregular algebras are definable by a Mal'cev condition
Arithmeticity at 0
Identities for direct decomposability of congruences can be written in two variables
Congruences generated by filters
Regularity of algebras with applications to congruence class geometry
Coherence implies congruence-regularity (a local version)
A functional characterization of parallelogram spaces
-ideals in the lattice of semi -ideals
Boolean concept lattices and good contexts
Mal'cev-type theorems for partial congruences
Announcements of new results
Varieties having directly decomposable congruence classes
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