User contributions for Vipul

14 May 2009

• 22:1622:16, 14 May 2009 diff hist +572‎ Formally real field ‎No edit summary current
• 22:0722:07, 14 May 2009 diff hist +32‎ N Template:Further ‎ Created page with '''Further information: {{{1}}}''' current
• 22:0722:07, 14 May 2009 diff hist +94‎ Perfect field ‎No edit summary
• 22:0622:06, 14 May 2009 diff hist +797‎ N Field of characteristic zero ‎ Created page with '{{field property}} ==Definition== A '''field of characteristic zero''' is defined in the following equivalent ways: # It is a field whose prime subfield is the [[defining ingr...' current
• 22:0422:04, 14 May 2009 diff hist +819‎ Formally real field ‎No edit summary
• 22:0122:01, 14 May 2009 diff hist +137‎ N Template:Proofofstrictimplicationat ‎ Created page with '''For proof of the implication, refer {{{1}}} and for proof of its strictness (i.e. the reverse implication being false) refer {{{2}}}''.' current
• 22:0122:01, 14 May 2009 diff hist +190‎ Archimedean field ‎ →‎Relation with other properties current
• 22:0022:00, 14 May 2009 diff hist +126‎ Archimedean field ‎No edit summary
• 21:5921:59, 14 May 2009 diff hist −297‎ Totally real field ‎ Redirected page to Archimedean field current
• 21:5721:57, 14 May 2009 diff hist +28‎ Field with trivial automorphism group ‎ →‎Relation with other properties current
• 21:5721:57, 14 May 2009 diff hist +328‎ N Totally real field ‎ Created page with '{{field property}} ==Definition== A '''totally real field''' is a field isomorphic to a subfield of the field of real numbers. ==Relation with other properties== ===W...'
• 21:5521:55, 14 May 2009 diff hist +905‎ N Archimedean field ‎ Created page with '{{field property}} ==Definition== An '''Archimedean field''' is a field with a total ordering <math>\le</math> on its elements satisfying the following: * <math>0 \le 1</m...'
• 21:4321:43, 14 May 2009 diff hist −56‎ Template:Top notice ‎No edit summary
• 21:4221:42, 14 May 2009 diff hist +402‎ N Template:Top notice ‎ Created page with '{{quotation|Welcome to '''{{fullsitetitle}}'''. This is a pre-alpha stage group theory wiki primarily managed by Vipul Naik, a Ph.D. student in Mathematics at the ...'
• 21:3921:39, 14 May 2009 diff hist −435‎ Main Page ‎ Replaced content with '{{top notice}}' current

10 May 2009

• 17:3117:31, 10 May 2009 diff hist +398‎ N Field with trivial Brauer group ‎ Created page with '{{field property}} ==Definition== A '''field with trivial Brauer group''' is a field whose defining ingredient:Brauer group is the trivial group. ==Relation with o...'
• 17:2817:28, 10 May 2009 diff hist +281‎ Algebraically closed field ‎No edit summary
• 17:2617:26, 10 May 2009 diff hist +287‎ Separably closed field ‎No edit summary current
• 17:2417:24, 10 May 2009 diff hist +454‎ N Separably closed field ‎ Created page with '{{field property}} ==Definition== A field is termed '''separably closed''' if it satisfies the following equivalent conditions: # Every irreducible polynomial over it ...'
• 17:2117:21, 10 May 2009 diff hist +616‎ N Quadratic extension ‎ Created page with '{{field extension property}} ==Definition== A field extension is termed a '''quadratic extension''' if it satisfies the following equivalent conditions: # It is the [[spli...' current
• 17:1817:18, 10 May 2009 diff hist +34‎ N Template:Proofat ‎ Created page with '''For full proof, refer: {{{1}}}''' current
• 17:1817:18, 10 May 2009 diff hist +479‎ N Field with trivial automorphism group ‎ Created page with '{{field property}} ==Definition== A '''field with trivial automorphism group''' is a field whose automorphism group i...'
• 17:1617:16, 10 May 2009 diff hist +861‎ N Real-closed field ‎ Created page with '==Definition== A '''real-closed field''' is a field satisfying the following equivalent conditions: # It is elementarily equivalent to the field of real numbers. # It is a ...' current
• 17:1217:12, 10 May 2009 diff hist +66‎ Euclidean field ‎ →‎Examples current
• 17:1117:11, 10 May 2009 diff hist +795‎ N Euclidean field ‎ Created page with '{{field property}} ==Definition== A '''Euclidean field''' is a field satisfying the following equivalent conditions: # The field is a [[defining ingredient::formally real ...'
• 17:0717:07, 10 May 2009 diff hist +540‎ N Quadratically closed field ‎ Created page with '{{field property}} ==Definition== A field is termed a '''quadratically closed field''' if every element in the field is a square. For every field, there is a unique smalle...' current
• 17:0117:01, 10 May 2009 diff hist +221‎ N Formally real field ‎ Created page with '{{field property}} ==Definition== A '''formally real field''' is a field in which <math>-1</math> is not a square. ==Relation with other properties== ===Stronger properti...'
• 17:0017:00, 10 May 2009 diff hist +305‎ N Pythagorean field ‎ Created page with '{{field property}} ==Definition== A '''Pythagorean field''' is a field in which a sum of squares is a square. ==Relation with other properties== ===Stronger properties=== * ...' current
• 16:5716:57, 10 May 2009 diff hist +66‎ Template:Field extension property ‎No edit summary current
• 16:5716:57, 10 May 2009 diff hist +330‎ N Template:Field extension property ‎ Created page with '{{quotation|''This article defines a field extension property: a property that can be evaluated to true/false for any field extension.''<br>[[:Category:Field extension pr...'
• 16:5516:55, 10 May 2009 diff hist +362‎ N Template:Field property ‎ Created page with '{{quotation|''This article defines a field property: a property that can be evaluated to true/false for any field.''<br>[[:Category:Field properties|View a complete list of f...' current
• 16:4916:49, 10 May 2009 diff hist +302‎ N Template:Quotation ‎ Created page with '<blockquote class="toccolours" style="float:none; padding: 10px 15px 10px 15px; display:table;"> {{{1<noinclude>|  {{Lorem}}</noinclude>}}}</blockquote><noinclude>''Thi...' current
• 16:4916:49, 10 May 2009 diff hist +358‎ N Field extension with trivial automorphism group ‎ Created page with '{{field extension property}} ==Definition== A '''field extension with trivial automorphism group''' is a field extension whose [[defining ingredient::automorphism group of ...' current
• 16:4616:46, 10 May 2009 diff hist +529‎ N Algebraic extension ‎ Created page with '{{field extension property}} ==Definition== ===Symbol-free definition=== A field extension is termed '''algebraic''' if it satisfies the following equivalent conditions: ...' current
• 16:4416:44, 10 May 2009 diff hist +1,012‎ N Purely transcendental extension ‎ Created page with '{{field extension property}} ==Definition== Suppose <math>L</math> is a field extension of a field <math>K</math>. We say that <math>L</math> is '''purely transcendenta...' current
• 16:3916:39, 10 May 2009 diff hist +396‎ N Separable extension ‎ Created page with '{{field extension property}} ==Definition== ===Symbol-free definition=== A field extension is termed '''separable''' if, for any algebraic element in the extension, th...' current
• 16:3716:37, 10 May 2009 diff hist +706‎ N Galois extension ‎ Created page with '{{field extension property}} ==Definition== Suppose <math>L</math> is a field extension of a field <math>K</math>. In other words, <math>K</math> is a subfield of <math...' current
• 16:3416:34, 10 May 2009 diff hist +1,391‎ N Finite normal extension ‎ Created page with '{{field extension property}} ==Definition== Suppose <math>L</math> is a field extension of a field <math>K</math>. In other words, <math>K</math> is a subfield of <math...' current
• 16:2816:28, 10 May 2009 diff hist +41‎ Normal extension ‎ →‎Weaker properties current
• 16:2816:28, 10 May 2009 diff hist +1,540‎ N Normal extension ‎ Created page with '{{field extension property}} ==Definition== Suppose <math>L</math> is a field extension of a field <math>K</math>. In other words, <math>K</math> is a subfield of <math>L</...'
• 16:2216:22, 10 May 2009 diff hist +964‎ Finite extension ‎No edit summary current
• 16:1816:18, 10 May 2009 diff hist +496‎ N Finite extension ‎ Created page with '{{field extension property}} ==Definition== ===Definition with symbols=== Suppose <math>L</math> is a field extension of a field <math>K</math> (i.e., <math>K</math> is a subf...'
• 16:1616:16, 10 May 2009 diff hist +615‎ N Finite field ‎ Created page with '{{field property}} ==Definition== A field is termed '''finite''' if it satisfies the following equivalent conditions: # The underlying set of the field is finite. # The un...' current
• 16:1316:13, 10 May 2009 diff hist +693‎ N Perfect field ‎ Created page with '{{field property}} ==Definition== A field is termed '''perfect''' if it satisfies the following equivalent conditions: # It is either a field of characteristic zero or...'
• 16:1016:10, 10 May 2009 diff hist +384‎ N Algebraically closed field ‎ Created page with '{{field property}} ==Definition== ===Symbol-free definition=== A field is termed '''algebraically closed''' if it satisfies the following conditions: * Every nonconstant ...'
• 15:0415:04, 10 May 2009 diff hist +215‎ N MediaWiki:Sidebar ‎ Created page with '* SEARCH * navigation ** mainpage|mainpage ** recentchanges-url|recentchanges * lookup ** Category:Terminology|Terms/definitions ** Category:Facts|Facts/theorems ** Category:Surv...' current
• 15:0215:02, 10 May 2009 diff hist +114‎ N MediaWiki:Sitenotice ‎ Created page with 'thumb|75px|right|[http://www.4am.co.in Visit] {{fullsitetitle}} ({{sitestatus}})'
• 15:0115:01, 10 May 2009 diff hist 0‎ N File:Logo.jpg ‎No edit summary current
• 15:0115:01, 10 May 2009 diff hist +12‎ N Template:Sitestatus ‎ Created page with 'barely begun' current
• 15:0015:00, 10 May 2009 diff hist +30‎ N Template:Fullsitetitle ‎ Created page with 'Galois, The Galois Theory Wiki' current