Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books 1 - 10 of 23 on L6 . x A (y V z) = (x A y) V (x A z) L6"..  
" L6 . x A (y V z) = (x A y) V (x A z) L6". "
Lattice Theory - Page 11
by Garrett Birkhoff - 1967 - 418 pages
Limited preview - About this book

Encyclopedia of Library and Information Science: Volume 27 - Scientific and ...

Allen Kent, Harold Lancour, Jay E. Daily - Language Arts & Disciplines - 1979 - 576 pages
...also true in lattices. A lattice is said to be distributive if for all elements x, y, and z in it, x A (y V z) = (x A y) v (x A z). It turns out that this property is equivalent to the "dual" property that x V 0> A z) = (* V y) A (*...
Limited preview - About this book

Truth, Interpretation, and Information: Selected Papers from the Third ...

Jeroen A. G. Groenendijk, Theo M. V. Janssen, Martin J. B. Stokhof - Semantics - 1984 - 182 pages
...subscripts) for all x,y,z in B: (a) Commutativity (x A y) = (y A x) and (x V y) = (y V x). (b) Distributivity (x A (y V z)) = (x A y) V (x A z) and (x V (y A z)) = (x V y) A (x V z)). (c) Laws of Complements (x A x') = 0 and (x V x1) = 1 . (d)...
Limited preview - About this book

Compact Riemann Surfaces and Algebraic Curves

Kichoon Yang - Mathematics - 1988 - 174 pages
...Definition. Let (S, <, V, A) = S be a lattice. i) S is said to be distributive if for every x, y, z 6 S, x A (y V z) = (x A y) V (x A z) and x V (y A z) = (x V y) A (x V z) (the two conditions are in fact equivalent), ii) xe S is called...
Limited preview - About this book

Lattices with Unique Complements

Vi͡acheslav Nikolaevich Saliĭ - Mathematics - 1988 - 113 pages
...(y V z) = (x A y) V (x A z), which is called the distributive law. Note that in any lattice we have x A (y V z) > (x A y) V (x A z), so that the meaning of the distributive law is really the declaration of the reverse inequality. 2....
Limited preview - About this book

Mathématique discrète: outil pour l'informaticien

Michel Marchand - 1989 - 499 pages
...totalement ordonné est un treillis distributif. 12. Soit L un treillis tel que: Vj-, y, z € L : x A (y V z) = (x A y) V (x A z). Montrer que: Vx, y, z,€ L : z V (y A z) = (x V y) A (* V z). 13. Montrer que le produit de deux treillis...
Limited preview - About this book

Automata, Languages and Programming: 17th International Colloquium, Warwick ...

Michael S. Paterson - Computers - 1990 - 780 pages
...automata. Recall that a Scott— domain (D,<) is distributive, if for any x,y,z 6 D such that y V z exists, x A (y V z) = (x A y) V (x A z). Then a dl— domain is a distributive finitary Scott-domain. Dl— domains have been much studied in...
Limited preview - About this book

Proceedings of the International Conference on Algebra Dedicated to the ...

Leonid A. Bokut, Anatoliĭ Ivanovich Malʹt︠s︡ev, Alekseĭ Ivanovich Kostrikin - Mathematics - 1992 - 666 pages
...student Chock You Wong [43]. He investigated a weak distributive implication: (WD A ) xVy=xVz implies x A (y V z) - (x A y) V (x A z) A lattice which satisfies this law and its dual is called weakly distributive. Wong showed that a variety...
Limited preview - About this book

Sheaves in Geometry and Logic: A First Introduction to Topos Theory

Saunders MacLane, Ieke Moerdijk - Mathematics - 1992 - 627 pages
...= x A y (or, equivalently, y = x V y). A distributive lattice L is a lattice in which the identity x A (y V z) = (x A y) V (x A z) (2) holds for all x, y, and z. This identity implies the dual distributive law x\I(yAz) = (xVy) A(xVz)....
Limited preview - About this book

Categories for Types

Roy L. Crole - Computers - 1993 - 335 pages
...aid the manipulation of meets and joins. Let X be a lattice. Then X is distributive if it satisfies x A (y V z) = (x A y) V (x A z) for all x, y, z in X. X is called modular if x < z implies x V (y A z) = (x V y) A z. REMARK 1.3.18...
Limited preview - About this book




  1. My library
  2. Help
  3. Advanced Book Search