A remark on the ideal extension property
A scheme for congruence semidistributivity
A diagrammatic statement is developed for the generalized semidistributive law in case of single algebras assuming that their congruences are permutable. Without permutable congruences, a diagrammatic statement is developed for the ∧-semidistributive law.
A short proof of Rédei's Theorem.
A simple basis of ideal terms of Brouwerian semilattices
A simple geometric proof of a theorem on
A special congruence lattice of a regular semigroup.
Algebraic properties of pre-logics
Algebras of multiplace functions.
Algebras presented by normal identities
Algebras whose principal congruences form a sublattice of the congruence lattice
Algebras with -transferable tolerances
Algebras with principal tolerances
Algebras with tolerance extension property in 0
An application of commutator theory to incidence algebras.
Usando la teoria del commutatore in algebra universale, si dimostra che una larga classe di algebre di incidenza sono polinomialmente equivalenti a moduli su anelli con divisione.
An investigation on the -fold IVRL-filters in triangle algebras
The present study aimed to introduce -fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of -fold (positive) implicative IVRL-extended filters and -fold (positive) implicative triangle algebras were defined. Afterwards, several characterizations of the algebras were presented, and the correlations between the -fold IVRL-extended filters, -fold (positive) implicative algebras, and the Gödel triangle algebra were discussed.
Announcements of new results
Arithmeticity at 0
Atomary tolerances on finite algebras
A tolerance on an algebra is defined similarly to a congruence, only the requirement of transitivity is omitted. The paper studies a special type of tolerance, namely atomary tolerances. They exist on every finite algebra.
Atomicity of tolerance lattices
Atomicity of tolerance lattices of commutative semigroups