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Home > Order automorphism

The set of order automorphisms of a set forms a group.

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Topics: Order Automorphism Set Theory Group Ordered Partially...

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Ordered pairAn ordered pair is a collection of two objects such that one can be distinguished as the first element and the other as the second element''. An ordered pair with first element a and second element b is usually written as a b . The notation a b is also us Order automorphismIn the mathematical area of order theory, given a partially ordered set S ≤) an order automorphism of S ≤) is an order isomorphism from S ≤) to itself. The set of order automorphisms of a set forms a group. Order theory. Ordered fieldIn mathematics, an ordered field is a field F +, ) together with a total order ≤ on F that is compatible with the algebraic operations in the following sense: if a ≤ b then a + c ≤ b + c if 0 ≤ a and 0 ≤ b then 0 ≤ a b It follows from th Orders of magnitudeAn order of magnitude is the class of bigness, the class of size, the class of magnitude, of any amount, where each separate class contains ten times larger amounts than the one before. It is generally used to make very approximate comparisons. If two num Order of the Eastern StarMasonic Organizations The Order of the Eastern Star is the largest fraternal organization in the world that both men and women can join. It was established in 1850 by Robert Morris, a lawyer and educator from Boston, Massachusetts who had been an official OrderOrder is the opposite of anarchy and chaos. It is often used in the phrase law and order . Legal and military meanings Court order Executive order General order Standing order Scientific meanings Order (biology) In computing, canonical order In informatio Order (biology) Order of the Garter Order of the Arrow Orderville, Utah Order of Australia Order of Canada Order statistic Order of battle Ordered group