منابع مشابه
Priestley Rings and Priestley Order-Compactifications
We introduce Priestley rings of upsets (of a poset) and prove that inequivalent Priestley ring representations of a bounded distributive lattice L are in 1-1 correspondence with dense subspaces of the Priestley space of L. This generalizes a 1955 result of Bauer that inequivalent reduced field representations of a Boolean algebra B are in 1-1 correspondence with dense subspaces of the Stone spa...
متن کاملPriestley Configurations and Heyting Varieties
We investigate Heyting varieties determined by prohibition of systems of configuraations in Priestley duals; we characterize the configuration systems yielding such varieties. On the other hand, the question whether a given finitely generated Heyting variety is obtainable by such means is solved for the special case of systems of trees. Priestley duality provides a correspondence between bounde...
متن کاملGeneralized Priestley Quasi-Orders
We introduce generalized Priestley quasi-orders and show that subalgebras of bounded distributive meet-semilattices are dually characterized by means of generalized Priestley quasi-orders. This generalizes the well-known characterization of subalgebras of bounded distributive lattices by means of Priestley quasiorders (Adams, Algebra Univers 3:216–228, 1973; Cignoli et al., Order 8(3):299– 315,...
متن کاملPriestley Duality for Bilattices
We develop a Priestley-style duality theory for different classes of algebras having a bilattice reduct. A similar investigation has already been realized by B. Mobasher, D. Pigozzi, G. Slutzki and G. Voutsadakis, but only from an abstract category-theoretic point of view. In the present work we are instead interested in a concrete study of the topological spaces that correspond to bilattices a...
متن کاملJoseph Priestley, natural philosopher.
In this two hundredth anniversary year of his death, we are met to celebrate the life and career of Joseph Priestley—and most of us celebrate the wrong man, for the wrong reasons. We celebrate the pneumatic chemist who, in a flurry of random experiments made over a period of five years, isolated and partially identified nine new gases, including oxygen—and the man who spent roughly five times a...
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ژورنال
عنوان ژورنال: Nature
سال: 1909
ISSN: 0028-0836,1476-4687
DOI: 10.1038/080008d0