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Topic: Distributivity (order theory)

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	PlanetMath: partially ordered group
		A po-group whose underlying poset is a lattice is called a lattice ordered group, or an l-group.
		The result is called a partially ordered semigroup, or a po-semigroup for short.
		This is version 11 of partially ordered group, born on 2007-02-17, modified 2007-05-27.
	planetmath.org /encyclopedia/PartiallyOrderedGroup.html (347 words)

	Distributivity - Wikipedia, the free encyclopedia
		In mathematics, and in particular in abstract algebra, distributivity is a property of binary operations that generalises the distributive law from elementary algebra.
		Multiplication of numbers is distributive over addition of numbers, for a broad class of different kinds of numbers ranging from natural numbers to complex numbers and cardinal numbers.
		Distributivity is most commonly found in rings and distributive lattices.
	en.wikipedia.org /wiki/Distributivity (792 words)

	Kuratowski: Introduction to Set Theory
		The object of set theory is to investigate the properties of sets from the most general point of view; generality is an essential aspect of the theory of sets.
		From this follows the important corollary that of two different well ordered sets one is of power equal to that of a subset of the other; in the terminology of cardinal numbers this means that for two distinct cardinal numbers corresponding' to well ordered sets, one is always smaller than the other.
		The stimulus to the investigations from which the theory of sets grew, was given by problems of analysis, the establishing of the foundations of the theory of irrational numbers, the theory of trigonometric series, etc, However, the further development of set theory went initially in an abstract direction, little connected with other branches of mathematics.
	www-groups.dcs.st-and.ac.uk /~history/Extras/Kuratowski_Set_Theory.html (1223 words)

	[No title]
		Order, lattices, ordered algebraic structures, See also {18B35}
		11Kxx Probabilistic theory: distribution modulo $1$; metric theory of algorithms
		Linear and multilinear algebra; matrix theory {(finite and infinite)}
	www.zblmath.fiz-karlsruhe.de /MATH/msc/msc91 (6877 words)

	ipedia.com: Distributivity Article (Site not responding. Last check: 2007-10-09)
		works which give detailed account, in alphabetical order, of whole field of human knowledge, or of some particular section in it.
		Distributivity is most commonly found in ringss and distributive lattices.
		Rings and distributive lattices are both special kinds of rigss, certain generalisations of rings.
	www.ipedia.com /distributivity.html (788 words)

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