Microparticles - Revision history

en>Rjwilmsi: /* Applications */Journal cites, added 1 DOI using AWB (10331)

2014-07-28T12:07:34Z

Applications: Journal cites, added 1 DOI using AWB (10331)

← Older revision		Revision as of 14:07, 28 July 2014
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	~~{{for\|the Lie algebras or groups \|Malcev Lie algebra}}~~		I would like to introduce myself to you, I am Jayson Simcox but I don't like when people use my full name. For a whilst I've been in Alaska but I will have to transfer in a year or two. Doing ballet is something she would by no means give up. Office supervising is my occupation.<br><br>Also visit my web-site: free psychic reading ([http://203.250.78.160/zbxe/?document_srl=1792908 78.160])
	~~In [[mathematics]]~~, a '~~''Malcev algebra''' (~~or ~~'''Maltsev algebra''' or '''[[Ruth Moufang\|Moufang]]–[[Sophus Lie\|Lie]] algebra''') over a field~~ is ~~a [[nonassociative algebra]] that~~ is ~~antisymmetric, so that~~

	:<~~math~~>~~xy = -yx\~~ <~~/math~~>

	~~and satisfies the '''Malcev identity'''~~

	:~~<math>~~(~~xy)(xz) = ((xy)z)x + ((yz)x)x + ((zx)x)y.\ <~~/~~math>~~

	~~They were first defined by [[Anatoly Maltsev]] (1955)~~.

	~~==Examples==~~
	*Any [[Lie algebra]] is a Malcev algebra.
	*Any [[alternative algebra]] may be made into a Malcev algebra by defining the Malcev product to be ''xy'' − ''yx''.
	*The imaginary [[octonions]] form a 7-dimensional Malcev algebra by defining the Malcev product to be ''xy'' − ''yx''.

	~~==See also==~~

	*[[Malcev-admissible algebra]]

	~~==References==~~
	* Alberto Elduque and Hyo C. Myung ''Mutations of alternative algebras'', Kluwer Academic Publishers, Boston, 1994, ISBN 0-7923-2735-7
	*{{springer\|id=M/~~m062170\|author~~=~~V.T~~. ~~Filippov\|title=Mal'tsev algebra}}~~
	*{{Citation \| last1=Mal'cev \| first1=A. I. \| title=Analytic loops \| id={{MathSciNet \| id = 0069190}} \| year=1955 \| journal=Mat. Sb. N.S. \| volume=36 \| pages=569–576\|language=Russian \| issue=78}}

	~~{{algebra-stub}}~~
	~~[[Category:Non-associative algebras]]~~
	~~[[Category:Lie algebras]~~]

en>Estaling: /* Applications */ deleted extra space, adjusted capitalization

2013-10-31T15:52:59Z

Applications: deleted extra space, adjusted capitalization

← Older revision		Revision as of 17:52, 31 October 2013
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	~~The author~~'~~s title~~ is ~~Andera~~ and ~~she thinks it seems quite great~~. ~~Invoicing~~ is ~~what I do for~~ a ~~living but I~~'~~ve usually needed my personal company~~. ~~What me and my family adore is~~ to ~~climb but I~~'~~m considering on beginning something new~~. ~~Ohio is exactly where my home is but my husband desires us to move~~.~~<br><br>My web site~~ - ~~email psychic readings; [http:~~/~~/netwk~~.~~hannam~~.ac.~~kr/xe/data_2/85669 linked internet page~~],		{{for\|the Lie algebras or groups \|Malcev Lie algebra}}
			In [[mathematics]], a '''Malcev algebra''' (or '''Maltsev algebra''' or '''[[Ruth Moufang\|Moufang]]–[[Sophus Lie\|Lie]] algebra''') over a field is a [[nonassociative algebra]] that is antisymmetric, so that

			:<math>xy = -yx\ </math>

			and satisfies the '''Malcev identity'''

			:<math>(xy)(xz) = ((xy)z)x + ((yz)x)x + ((zx)x)y.\ </math>

			They were first defined by [[Anatoly Maltsev]] (1955).

			==Examples==
			*Any [[Lie algebra]] is a Malcev algebra.
			*Any [[alternative algebra]] may be made into a Malcev algebra by defining the Malcev product to be ''xy'' − ''yx''.
			*The imaginary [[octonions]] form a 7-dimensional Malcev algebra by defining the Malcev product to be ''xy'' − ''yx''.

			==See also==

			*[[Malcev-admissible algebra]]

			==References==
			* Alberto Elduque and Hyo C. Myung ''Mutations of alternative algebras'', Kluwer Academic Publishers, Boston, 1994, ISBN 0-7923-2735-7
			*{{springer\|id=M/m062170\|author=V.T. Filippov\|title=Mal'tsev algebra}}
			*{{Citation \| last1=Mal'cev \| first1=A. I. \| title=Analytic loops \| id={{MathSciNet \| id = 0069190}} \| year=1955 \| journal=Mat. Sb. N.S. \| volume=36 \| pages=569–576\|language=Russian \| issue=78}}

			{{algebra-stub}}
			[[Category:Non-associative algebras]]
			[[Category:Lie algebras]]

en>Ammodramus: c/e

2012-01-02T03:17:17Z

c/e

New page

The author's title is Andera and she thinks it seems quite great. Invoicing is what I do for a living but I've usually needed my personal company. What me and my family adore is to climb but I'm considering on beginning something new. Ohio is exactly where my home is but my husband desires us to move.<br><br>My web site - email psychic readings; [http://netwk.hannam.ac.kr/xe/data_2/85669 linked internet page],