منابع مشابه
Extension of a Distributive Lattice to a Boolean Ring*
The problem of imbedding an abstract distributive lattice in a Boolean algebra by an algebraic extension was suggested to the writer by M. H. Stone in 1933. Hausdorfff had already given a solution of this problem for the case where the given distributive lattice was a ring of point sets. A solution for the abstract case was presented by the writer to the Harvard Mathematical Colloquium (1934), ...
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We propose a method for testing satisfiability based on Boolean rings. It makes heavy use of simplification, but avoids the potential size increase associated with application of the distributive law by employing a combined linear and binomial representation. Several complexity results suggest why the method may be relatively effective in many cases. The framework is also amenable to learning f...
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In a previous paper, we introduced the notion of Boolean-like algebra as a generalisation of Boolean algebras to an arbitrary similarity type. In a nutshell, a double-pointed algebra A with constants 0, 1 is Booolean-like in case for all a ∈ A the congruences θ (a, 0) and θ (a, 1) are compementary factor congruences of A. We also introduced the weaker notion of semi-Boolean-like algebra, showin...
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ژورنال
عنوان ژورنال: International Journal of Algebra
سال: 2014
ISSN: 1314-7595
DOI: 10.12988/ija.2014.312136