Distributive lattice
Distributive lattice In mathematics, distributive lattices are lattices for which the operations ... are collections of sets for which the lattice operations can be given by set union ... of sets describe the scenery completely: every distributive lattices is – up to isomorphism ...
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Distributive lattice   (translated from Russian)
Distributive lattice Distributive structure, the lattice, in which is correct the identity &.lt ... ch)=.ab+.ach+.bch&.lt;/.matyu&.gt; Distributive lattices are characterized by the fact ...
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Lattice (order)
Lattice (order) The term "lattice" derives from the shape of the Hasse ... from depicting these orders. In mathematics, a lattice is a partially ordered set (or poset ... Since both views can be used interchangeably, lattice theory can draw upon applications and methods ... most prominent representatives of a series of "lattice-like" structures which admit order-theoretic ...
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Complemented lattice
Complemented lattice In the mathematical discipline of order theory, and in particular, in lattice theory, a complemented lattice is a bounded lattice, (that is it has a least element ... more than one complement. However in a distributive lattice, that is a lattice in ...
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Stone's lattice   (translated from Russian)
Stone's lattice Stone the lattice - the distributive lattice of &.lt;.matyu&.gt;.L&.lt;/.matyu&.gt; with the pseudo-complements (Lattice with the additions) in which &.lt;. ...
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Lattice (ordered together)   (translated from French)
Lattice (ordered together) One lattice is one ordered together in which each ... are actually two equivalent definitions of the lattice, concerning the relation of order quoted previously ... other algebraic one. Synopsis Algebraic definition A lattice is a unit E provided with two ... absorption) To show that E is a lattice as an ordered unit, it is ...
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Distributivity (order theory)
... reasonably be generalized to semilattices as well. Distributive lattices Probably the most common type of ... This distributivity law defines the class of distributive lattices. Note that this requirement can be ... define distributivity for lattices. Typical examples of distributive lattice are totally ordered sets, Boolean algebras, and ... sets for which only one of the lattice operations is available, leading to the ...
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Distributivity
... property of binary operations that generalises the distributive law from elementary algebra. For example: 4 ... on S, we say that * is left-distributive over + if, given any elements x, y ... z) = (x * y) + (x * z); * is right-distributive over + if, given any elements x, y ... z) * x = (y * x) + (z * x); * is distributive over + if it is both left- and right-distributive. Notice that when * is commutative, then ...
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Glossary of order theory
... are related to the fields of order, lattice, and domain theory. Note that there is ... continuous poset. A Boolean algebra is a distributive lattice with least element 0 and greatest element ... a Boolean algebra that is a complete lattice. Complete Heyting algebra. A Heyting algebra that is a complete lattice is called a complete Heyting algebra. ...
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Bundle theory   (translated from Japanese)
... which is used in sense other than lattice bundle (mathematics) . Or concerning lattice of meaning other than the bundle lattice . mathematics ,Bundle theory(The そ く ろ it is) withBundle (Lattice) It is the theory regarding. Table of ... the bundle. The concepts regarding the bundle Distributive lattice The bundle which you follow ...
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