- distributive element
- мат.дистрибутивный элемент
English-Russian scientific dictionary. 2008.
distributive element
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Distributive lattice — In mathematics, distributive lattices are lattices for which the operations of join and meet distribute over each other. The prototypical examples of such structures are collections of sets for which the lattice operations can be given by set… … Wikipedia
Distributive homomorphism — A congruence θ of a join semilattice S is monomial, if the θ equivalence class of any element of S has a largest element. We say that θ is distributive, if it is a join, in the congruence lattice Con S of S, of monomial join congruences of S. The … Wikipedia
Distributive lattice/Proofs — Lemma 1Every totally ordered set is a distributive lattice with max as join and min as meet.ProofWe will show: : x vee (y wedge z) = (x vee y)wedge(x vee z)We may suppose yle z (If not, zle y and we may switch y and z.) Recall that yle z is… … Wikipedia
distributive — distributively, adv. distributiveness, n. /di strib yeuh tiv/, adj. 1. serving to distribute, assign, allot, or divide; characterized by or pertaining to distribution. 2. Gram. referring to the members of a group individually, as the adjectives… … Universalium
Two-element Boolean algebra — In mathematics and abstract algebra, the two element Boolean algebra is the Boolean algebra whose underlying set (or universe or carrier ) B is the Boolean domain. The elements of the Boolean domain are 1 and 0 by convention, so that B ={0,1}.… … Wikipedia
Congruence lattice problem — In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most … Wikipedia
Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… … Wikipedia
Glossary of order theory — This is a glossary of some terms used in various branches of mathematics that are related to the fields of order, lattice, and domain theory. Note that there is a structured list of order topics available as well. Other helpful resources might be … Wikipedia
Lattice (order) — See also: Lattice (group) The name lattice is suggested by the form of the Hasse diagram depicting it. Shown here is the lattice of partitions of a four element set {1,2,3,4}, ordered by the relation is a refinement of . In mathematics, a… … Wikipedia
List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
