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In general, any relation having the above properties is called a partial ordering;
and a partially ordered set, usually called a poset for short, is just a set S together
with a partial ordering of its elements. The inclusion relation is basic for the study
The most general finite distributive lattice may be constructed by a simple
generalization of Skolem's theorem. Namely, L is assumed to be any finite
distributive lattice, and A is assumed to be the set of all properly join-irreducible
elements of L; ...
The study of tive rings rotations in ordinary 3-space led the Irish mathematician
Sir William Rowan Hamilton to discover in 1843 the ring of quaternions, a
noncommutative division ring in which every nonzero element has an ...
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