## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

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Page 269

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

...

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...

Page 272

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

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; ...Page 291

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

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 ...### What people are saying - Write a review

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