Direct products of weak homomorphisms
Directable automata and their generalizations: A survey.
Directly decomposable congruences in varieties with nullary operations
Directly decomposable tolerances on direct products of lattices and semilattices
Directoid groups
We continue the study of directoid groups, directed abelian groups equipped with an extra binary operation which assigns an upper bound to each ordered pair subject to some natural restrictions. The class of all such structures can to some extent be viewed as an equationally defined substitute for the class of (2-torsion-free) directed abelian groups. We explore the relationship between the two associated categories, and some aspects of ideals of directoid groups.
Discriminator order algebras
We prove that an order algebra assigned to a bounded poset with involution is a discriminator algebra.
Discriminator varieties of Boolean algebras with residuated operators
The theory of discriminator algebras and varieties has been investigated extensively, and provides us with a wealth of information and techniques applicable to specific examples of such algebras and varieties. Here we give several such examples for Boolean algebras with a residuated binary operator, abbreviated as r-algebras. More specifically, we show that all finite r-algebras, all integral r-algebras, all unital r-algebras with finitely many elements below the unit, and all commutative residuated...
Disjoint and complete unions of incidence structures
Some decompositions of general incidence structures with regard to distinguished components (modular or simple) are considered and several structure theorems for them are deduced.
Disjoint unions of incidence structures and complete lattices
Distinguishing subsets in general algebras
Distributed families of varieties of algebras
Distributive associative near lattices
Distributive differential modals
A differential modal is an algebra with two binary operations such that one of the reducts is a differential groupoid and the other is a semilattice, and with the groupoid operation distributing over the semilattice operation. The aim of this paper is to show that the varieties of entropic and distributive differential modals coincide, and to describe the lattice of varieties of entropic differential modals.
Distributive groupoids and preradicals. I.
Distributive groupoids and preradicals. II.
Distributive lattices with an additional unary operation.
Distributive lattices with an additional unary operation. (Short Communication).
Distributive multisemilattices [Book]
Distributivity and modularity of lattices of quasiorders
Distributivity of lattices of binary relations
We present a formal scheme which whenever satisfied by relations of a given relational lattice containing only reflexive and transitive relations ensures distributivity of .