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Topic: Coquaternion

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	Coquaternion - the free encyclopedia (Site not responding. Last check: 2007-11-04)
		In abstract algebra, a coquaternion is an idea put forward by James Cockle in 1849.
		represents q in the ring of matrices in the sense that multiplication of coquaternions behaves the same way as the matrix multiplication.
		The coquaternions were initially identified and named in the London-Edinburgh-Dublin Philosophical Magazine, series 3, volume 35, pp.434,5 in 1849 by James Cockle under the title "On Systems of Algebra involving more than one Imaginary".
	www.world-knowledge-encyclopedia.com /default.asp?t=Coquaternion (782 words)

	YourArt.com >> Encyclopedia >> Coquaternion (Site not responding. Last check: 2007-11-04)
		Unlike the quaternion algebra, coquaternions may be zero divisors, idempotent, or nilpotent.
		Reticence to use coquaternions for kinematic models may stem from the (2, 2) signature when spacetime is presumed to have signature (1, 3) or (3, 1).
		The coquaternions were initially identified and named in the London-Edinburgh-Dublin Philosophical Magazine, series 3, volume 35, pp.
	www.yourart.com /research/encyclopedia.cgi?subject=/Coquaternion (1174 words)

	Coquaternion - Wikipedia, the free encyclopedia
		When the modulus is non-zero, then q has a multiplicative inverse.
		For example, the determinant of this matrix uu * − vv * = qq * ; the appearance of this minus sign where there is a plus in H leads to the alternative name split-quaternion for a coquaternion.
		In 1942 and 1947 there were two brief mentions of the coquaternion structure in the Annals of Mathematics:
	en.wikipedia.org /wiki/Coquaternion (1042 words)

	:::► Dictionary of Meaning www.mauspfeil.net ◄:::
		The coquaternion products of these elements are : ij = k = -ji, j k = - i = - k j, k i = j = - i k : i
		A '''coquaternion''' :q = w + x i + y j + z k has ''conjugate'' :q* = w - x i - y j - z k and ''modulus'' :q q* = w
		Historically coquaternions preceded Arthur Cayley Cayley's matrix algebra; coquaternions (along with quaternions and tessarines) evoked the broader linear algebra.
	www.mauspfeil.net /coquaternion.html (1250 words)

	Idempotent - Biocrawler (Site not responding. Last check: 2007-11-04)
		The only idempotent that's contained in the Jacobson radical of a ring is 0.
		There is a catenoid of idempotents in the coquaternion ring.
		A ring in which all elements are idempotent is called a boolean ring.
	www.biocrawler.com /encyclopedia/Idempotent (904 words)

	Almost coquaternion metric structures on $3$-dimensional manifolds, Constantin Udrişte (Site not responding. Last check: 2007-11-04)
		Almost coquaternion metric structures on $3$-dimensional manifolds, Constantin Udrişte
		[10] UDRISTE, C., Almost coquaternion structures, Doctoral thesis of Mathematica Sciences, Cluj University, Romania (1971).
		[11] UDRISTE, C., On fiberings of almost coquaternion manifolds, An.
	projecteuclid.org /getRecord?id=euclid.kmj/1138847014 (183 words)

	Quaternions info here at en.125-plan.info (Site not responding. Last check: 2007-11-04)
		Mathematicians, admittedly, closed a sizzling plank in their hearts for the weighty algebraic properties of quaternions but, alas, such élan means meager to the harder-headed materialistic scientist.
		Quaternions See also See also Quaternion group Coquaternion (split-quaternion) Associative algebra Complex number Division algebra Geometric algebra Hypercomplex number Hypernumber Octonion Quaternions and spatial rotation Biquaternion Hyperbolic quaternion Tesseract Hurwitz quaternion Euler Angles
		Geometric Tools documentation Includes uncommon affidavit focusing on livelys appositenesss of quaternions.
	en.125-plan.info /Quaternions (3731 words)

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