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orderable group

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  • Group ring — This page discusses the algebraic group ring of a discrete group; for the case of a topological group see group algebra, and for a general group see Group Hopf algebra. In algebra, a group ring is a free module and at the same time a ring,… …   Wikipedia

  • Ordered group — In abstract algebra, an ordered group is a group (G,+) equipped with a partial order ≤ which is translation invariant ; in other words, ≤ has the property that, for all a , b , and g in G , if a ≤ b then a+g ≤ b+g and g+a ≤ g+b . Note that… …   Wikipedia

  • Partially-ordered group — In abstract algebra, a partially ordered group is a group (G,+) equipped with a partial order ≤ that is translation invariant; in other words, ≤ has the property that, for all a, b, and g in G, if a ≤ b then a+g ≤ b+g and g+a ≤ g+b. An element x… …   Wikipedia

  • order — orderable, adj. orderer, n. orderless, adj. /awr deuhr/, n. 1. an authoritative direction or instruction; command; mandate. 2. a command of a court or judge. 3. a command or notice issued by a military organization or a military commander to… …   Universalium

  • Cyclic order — In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order cannot be modeled as a binary relation a < b . One does not say that east is more clockwise than west.… …   Wikipedia

  • Coil (band) — Black Light District redirects here. For the mini album of the Dutch band The Gathering, see Black Light District (EP). Coil Coil (Left: John Balance, Right: Peter Christopherson) Background information …   Wikipedia

  • Dehornoy order — in mathematics, the Dehornoy order is a left invariant total order on the braid group, found by Patrick Dehornoy (1994, 1995). Dehornoy s original discovery of the order on the braid group used huge cardinals, but there are now several more… …   Wikipedia

  • order — I. verb (ordered; ordering) Etymology: Middle English, from ordre, noun Date: 13th century transitive verb 1. to put in order ; arrange 2. a. to give an order to ; command …   New Collegiate Dictionary

  • Callaway Cars — Infobox Company company name = Callaway Cars Incorporated company vector logo = company type = Public genre = foundation = 1977 founder = Reeves Callaway location city = Old Lyme, Connecticut location country = United States location = origins =… …   Wikipedia

  • Reverse mathematics — is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… …   Wikipedia

  • Good and evil — In religion, ethics, and philosophy, the phrase, good and evil refers to the location of objects, desires, and behaviors on a two way spectrum, with one direction being morally positive ( good ), and the other morally negative ( evil ). Good is a …   Wikipedia

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