Sedimentation coefficient - Revision history

80.113.12.218 at 14:22, 16 April 2014

2014-04-16T14:22:14Z

← Older revision		Revision as of 16:22, 16 April 2014
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	~~In [[mathematics]], and more specifically in [[abstract algebra]], a '''pseudo-ring'''~~ is ~~one of the following variants of a [[ring (mathematics)\|ring]]:~~		Oscar is how he's known as and he totally enjoys this title. Managing people is his occupation. North Dakota is her birth location but she will have to move one day or an additional. What I adore performing is taking part in baseball but I haven't made a dime with it.<br><br>My blog post :: [http://www.animecontent.com/user/D2456 home std test]

	* A [[rng (algebra)\|rng]], i.e., a structure satisfying all the axioms of a ring except for the existence of a [[multiplicative identity]].<ref>{{Cite book
	~~\| last1=Bourbaki~~
	~~\| first1=N.~~
	~~\| author1-link=Nicolas Bourbaki~~
	~~\| title=Algebra I, Chapters 1-3~~
	~~\| publisher=Springer~~
	~~\| year=1998~~
	~~\| page=98~~
	~~}}</ref>~~
	* A set ''~~R'' with two [[binary operation]]~~s ~~+ and · such that (''R'',+) is an [[abelian group]] with [[additive identity\|identity]] 0, and <math>a(b+c) + a0 =ab +ac</math>~~ and ~~<math>(b+c)a +0a=ba+ca</math> for all ''a'', ''b'', ''c'' in ''R''.<ref name=Natarajan>{{cite journal\|last=Natarajan\|first=N. S.\|~~title~~=Rings with generalised distributive laws\|journal=J~~. ~~Indian~~. ~~Math~~. ~~Soc. (N. S.)\|year=1964\|volume=28\|pages=1-6}}</ref>~~
	* An abelian group ('~~'A'',+) equipped~~ with ~~a [[subgroup]] ''B'' and a multiplication ''B'' × ''A'' → ''A'' making ''B'' a ring and ''A'' a ''B''-[[module (mathematics)\|module]]~~.<~~ref name=Patterson~~>~~{{cite journal\|last=Patterson\|first=Edward M.\|title=The Jacobson radical of a pseudo-ring\|journal=Math. Z.\|year=1965\|volume=89\|pages=348-364}}~~<~~/ref~~>

	~~No two of these definitions are equivalent, so it is best to avoid the term "pseudo-ring" or to clarify which meaning is intended.~~

	~~== References ==~~
	~~{{reflist}}~~

	~~{{DEFAULTSORT~~:~~Pseudo-ring}}~~
	~~[[Category~~:~~Ring theory]]~~
	[~~[Category~~:~~Algebraic structures]]~~
	~~[[Category:Algebras]~~]

en>ChrisGualtieri: General Fixes using AWB

2013-10-20T02:35:50Z

General Fixes using AWB

← Older revision		Revision as of 04:35, 20 October 2013
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	~~Nice to meet you~~, ~~my name~~ is ~~Refugia~~. ~~Doing ceramics is what love performing~~. ~~For years he~~'s ~~been living~~ in ~~North Dakota~~ and ~~his family enjoys it. For many years I~~'~~ve been working as~~ a ~~payroll clerk~~.<br><br>~~Feel free~~ to ~~surf~~ to ~~my blog~~: [~~http~~:~~//dateplate.com/dayzfe http~~:~~//dateplate.com~~]		In [[mathematics]], and more specifically in [[abstract algebra]], a '''pseudo-ring''' is one of the following variants of a [[ring (mathematics)\|ring]]:

			* A [[rng (algebra)\|rng]], i.e., a structure satisfying all the axioms of a ring except for the existence of a [[multiplicative identity]].<ref>{{Cite book
			\| last1=Bourbaki
			\| first1=N.
			\| author1-link=Nicolas Bourbaki
			\| title=Algebra I, Chapters 1-3
			\| publisher=Springer
			\| year=1998
			\| page=98
			}}</ref>
			* A set ''R'' with two [[binary operation]]s + and · such that (''R'',+) is an [[abelian group]] with [[additive identity\|identity]] 0, and <math>a(b+c) + a0 =ab +ac</math> and <math>(b+c)a +0a=ba+ca</math> for all ''a'', ''b'', ''c'' in ''R''.<ref name=Natarajan>{{cite journal\|last=Natarajan\|first=N. S.\|title=Rings with generalised distributive laws\|journal=J. Indian. Math. Soc. (N. S.)\|year=1964\|volume=28\|pages=1-6}}</ref>
			* An abelian group (''A'',+) equipped with a [[subgroup]] ''B'' and a multiplication ''B'' × ''A'' → ''A'' making ''B'' a ring and ''A'' a ''B''-[[module (mathematics)\|module]].<ref name=Patterson>{{cite journal\|last=Patterson\|first=Edward M.\|title=The Jacobson radical of a pseudo-ring\|journal=Math. Z.\|year=1965\|volume=89\|pages=348-364}}</ref>

			No two of these definitions are equivalent, so it is best to avoid the term "pseudo-ring" or to clarify which meaning is intended.

			== References ==
			{{reflist}}

			{{DEFAULTSORT:Pseudo-ring}}
			[[Category:Ring theory]]
			[[Category:Algebraic structures]]
			[[Category:Algebras]]

88.8.218.103 at 16:23, 22 November 2011

2011-11-22T16:23:28Z

New page

Nice to meet you, my name is Refugia. Doing ceramics is what love performing. For years he's been living in North Dakota and his family enjoys it. For many years I've been working as a payroll clerk.<br><br>Feel free to surf to my blog: [http://dateplate.com/dayzfe http://dateplate.com]