A Note on the Embedding Property.
A note on the finite extensivity property
A note on the strongly compatible tolerances on an arbitrary semigroup
A note on tolerance lattices
A note on tolerance lattices of algebras with restricted similarity type
A note on triangular schemes for weak congruences
Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties—Triangular Principles—are equivalent to weak congruence modularity and distributivity.
A note on varieties of unary algebras
A note on varieties with distributive subalgebra lattices
A polynomial characterization of affine spaces over GF(3)
A polynomial characterization of nondistributive modular lattices
A precedence theorem for semigroups.
A principal topology obtained from uninorms
We obtain a principal topology and some related results. We also give some hints of possible applications. Some mathematical systems are both lattice and topological space. We show that a topology defined on the any bounded lattice is definable in terms of uninorms. Also, we see that these topologies satisfy the condition of the principal topology. These topologies can not be metrizable except for the discrete metric case. We show an equivalence relation on the class of uninorms on a bounded lattice...
A property of stable theories
A property of the solvable radical in finitely decidable varieties
It is shown that in a finitely decidable equational class, the solvable radical of any finite subdirectly irreducible member is comparable to all congruences of the irreducible if the type of the monolith is 2. In the type 1 case we establish that the centralizer of the monolith is strongly solvable.
À propos des théories de Galois finies et infinies
A pseudo representation theorem for various categories of relations.
A reduction theorem for ring varieties whose subvariety lattice is distributive
We prove a theorem (for arbitrary ring varieties and, in a stronger form, for varieties of associative rings) which basically reduces the problem of a description of varieties with distributive subvariety lattice to the case of algebras over a finite prime field.
A regular a-semigroups inducing a certain lattice.
A remark on a paper of Taimanov
A remark on polynomial functions over finite monoids.