On the lattice of subalgebras of a Boolean algebra
On the lattices of kernels of isotonic mappings. II
On the paracompactness of frames
Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.
On the rhomboidal heredity in ideal lattices
We show that the class of principal ideals and the class of semiprime ideals are rhomboidal hereditary in the class of modular lattices. Similar results are presented for the class of ideals with forbidden exterior quotients and for the class of prime ideals.
On the subsemilattices of first-order definable and openly first-order definable congruences of the congruence lattice of a universal algebra.
On the tolerance extension property
On weakly commutative poe-semigroups.
On -continuous tolerances of -distributive lattices
One simple result concerning imprimitivity relations of monoids of transformations and its applications.
Order affine completeness of lattices with Boolean congruence lattices
This paper grew out from attempts to determine which modular lattices of finite height are locally order affine complete. A surprising discovery was that one can go quite far without assuming the modularity itself. The only thing which matters is that the congruence lattice is finite Boolean. The local order affine completeness problem of such lattices easily reduces to the case when is a subdirect product of two simple lattices and . Our main result claims that such a lattice is locally...