# User contributions

- 00:29, 29 November 2010
(diff | hist) . .
**(+1,807)** . . Dedekind domain (→Invertibility of Ideals) - 23:58, 28 November 2010
(diff | hist) . .
**(+5,701)** . . Dedekind domain (Invertibility of ideals) - 22:25, 28 November 2010
(diff | hist) . .
**(+1,613)** . . N Fractional ideal (Created page with 'Given an integral domain <math>R</math> with field of fractions <math>K</math>, a '''fractional ideal''', <math>I</math>, of <math>R</math> is an <math>R</math>-[[module|…') - 13:43, 13 December 2009 (diff | hist) . . (+15) . . m Fundamental group (→Homotopy invariance)
- 02:13, 13 December 2009
(diff | hist) . .
**(+3,652)** . . Fundamental group (functoriality and homotopy invariance) - 01:17, 13 December 2009
(diff | hist) . .
**(+1,736)** . . Fundamental group - 00:43, 13 December 2009
(diff | hist) . .
**(+528)** . . Fundamental group (re-wrote article a bit) - 00:09, 13 December 2009 (diff | hist) . . (+55) . . m Fundamental group (add category)
- 00:08, 13 December 2009
(diff | hist) . .
**(+2,402)** . . Nm Fundamental group (split off from algebraic topology article) - 03:17, 5 November 2009 (diff | hist) . . (+488) . . Heine-Borel Theorem (This only holds for R^n, not for general metric spaces)
- 16:19, 8 September 2009 (diff | hist) . . (0) . . m Algebra (structure) (current)
- 22:05, 23 August 2009
(diff | hist) . .
**(+5,578)** . . Unique factorization domain (Proof that PID=>UFD) (current) - 20:24, 23 August 2009
(diff | hist) . .
**(+961)** . . N Unique factorization domain (Definition) - 20:07, 23 August 2009
(diff | hist) . .
**(+928)** . . N Prime element (Created page with 'In ring theory an element <math>p</math> of an integral domain <math>R</math> is said to be '''prime''' if: * <math>p</math> is not a unit. * If <math>p|ab</math> for any…') (current) - 19:42, 23 August 2009
(diff | hist) . .
**(+1,504)** . . N Irreducible element (Created page with 'In ring theory a element <math>r</math> of a ring <math>R</math> is said to be '''irreducible''' if: * <math>r</math> is not a unit. * <math>r</mat…') (current) - 19:16, 23 August 2009 (diff | hist) . . (+446) . . N Unit (ring theory) (Created page with 'In ring theory we say that an element <math>u</math> of a ring <math>R</math> is a '''unit''' if it has an inverse in <math>R</math>, that is, if there is another ele…') (current)
- 18:50, 23 August 2009 (diff | hist) . . (+497) . . Maximal ideal (maximal=>prime) (current)
- 18:46, 23 August 2009 (diff | hist) . . (+9) . . m Prime ideal (stub)
- 18:42, 23 August 2009 (diff | hist) . . (+26) . . m Prime ideal (category)
- 18:41, 23 August 2009
(diff | hist) . .
**(+856)** . . N Prime ideal (Created page with 'In ring theory we say that an ideal <math>P</math> of a ring <math>R</math> is '''prime''' if <math>P\ne R</math> and for any ideals <math>I,J\subseteq R</math> with …') - 14:28, 22 August 2009
(diff | hist) . .
**(+873)** . . Euclidean domain (Proof that a Euclidean domain is a PID) (current) - 13:59, 22 August 2009
(diff | hist) . .
**(+688)** . . Euclidean domain (Formal definition/examples) - 21:26, 21 August 2009
(diff | hist) . .
**(+1,007)** . . N Fermat prime (Created page with 'If <math>n</math> is a nonnegative integer the <math>n^{th}</math> '''Fermat number''' is defined to be <math>F_n = 2^{2^n}+1</math>. If <math>F_n</math> is prime, then it is kn…') - 15:07, 21 August 2009 (diff | hist) . . (+49) . . m Constructible polygon (categories)
- 15:05, 21 August 2009
(diff | hist) . .
**(+5,120)** . . N Constructible polygon (Definition and classification) - 00:18, 21 August 2009
(diff | hist) . .
**(+2,922)** . . N Tower law (Statement and proof) - 23:38, 20 August 2009
(diff | hist) . .
**(+4,785)** . . Constructible number (Proof (could probably be cleaned up a bit)) - 22:26, 20 August 2009
(diff | hist) . .
**(+2,062)** . . Constructible number (Statement of theorem) - 21:44, 20 August 2009 (diff | hist) . . (-14) . . m Constructible number (slightly different statement of definition)
- 21:26, 20 August 2009 (diff | hist) . . (+49) . . m Constructible number (categories)
- 21:23, 20 August 2009
(diff | hist) . .
**(+673)** . . N Constructible number (Definition) - 20:34, 20 August 2009
(diff | hist) . .
**(+1,923)** . . N Minimal polynomial (definition and existance/uniqueness) - 20:13, 20 August 2009
(diff | hist) . .
**(+654)** . . Three Greek problems of antiquity - 14:20, 7 June 2009 (diff | hist) . . (+63) . . Three Greek problems of antiquity (Um cos 20 is algebraic)
- 16:58, 28 March 2009 (diff | hist) . . (+22) . . m Metric (analysis) (category)
- 16:57, 28 March 2009 (diff | hist) . . (+22) . . m Neighborhood (category)
- 16:56, 28 March 2009 (diff | hist) . . (+22) . . m Arbitrarily close (category) (current)
- 16:55, 28 March 2009 (diff | hist) . . (+22) . . m Continuity (category)
- 16:50, 28 March 2009 (diff | hist) . . (+22) . . m Limit point (category) (current)
- 16:49, 28 March 2009 (diff | hist) . . (+23) . . m Euclidean metric (category) (current)
- 16:48, 28 March 2009 (diff | hist) . . (+23) . . m Discrete metric (category) (current)
- 16:47, 28 March 2009 (diff | hist) . . (+22) . . m Metric space (category)
- 16:41, 28 March 2009 (diff | hist) . . (+31) . . m Meromorphic (category) (current)
- 16:39, 28 March 2009 (diff | hist) . . (+30) . . m Entire (category) (current)
- 16:38, 28 March 2009 (diff | hist) . . (+31) . . m Holomorphic function (category)
- 16:43, 26 March 2009
(diff | hist) . .
**(+2,467)** . . Polynomial ring (Formal definition) - 23:51, 24 March 2009 (diff | hist) . . (+185) . . N Polynomial ring (New page: Given a (commutative) ring <math>R</math>, the polynomial ring <math>R[x]</math> is, informally, "the ring of all polynomials in <math>x</math> with coefficients in <math>R</math>.")
- 23:46, 24 March 2009 (diff | hist) . . (+39) . . m Field extension (current)
- 23:43, 24 March 2009 (diff | hist) . . (+471) . . N Maximal ideal (New page: In ring theory, a '''maximal ideal''' of a ring <math>R</math> is a proper ideal <math>I\le R</math> which is not contained in any other proper ideal of <math>R</math>. (That i...)
- 23:12, 24 March 2009 (diff | hist) . . (+23) . . m Fundamental Theorem of Calculus (add category)
- 01:06, 21 March 2009 (diff | hist) . . (+185) . . Nm Principal ideal domain (someone who is less lazy than me should write this) (current)
- 01:03, 21 March 2009 (diff | hist) . . (+55) . . m Bezout's Lemma (Added categories)
- 01:01, 21 March 2009
(diff | hist) . .
**(+1,722)** . . Bezout's Lemma (Generalization for PIDs) - 00:39, 21 March 2009
(diff | hist) . .
**(+506)** . . Bezout's Lemma (Added proof that g minimal) - 00:33, 21 March 2009 (diff | hist) . . (+254) . . Bezout's Lemma (Generalized statement/proof to hold for any nonzero integers)
- 00:05, 21 March 2009 (diff | hist) . . (+28) . . m Quadratic residues
- 23:52, 20 March 2009 (diff | hist) . . (+29) . . m Matrix
- 23:51, 20 March 2009 (diff | hist) . . (+28) . . m Linear algebra (current)
- 23:51, 20 March 2009 (diff | hist) . . (+62) . . Nm Category:Linear algebra (New page: This category includes articles related to linear algebra.)
- 23:47, 20 March 2009 (diff | hist) . . (+58) . . m Vector space (added categories) (current)
- 19:39, 4 February 2009 (diff | hist) . . (-5) . . m USAMO historical results (There were no perfect scores on the 2008 IMO)
- 19:25, 4 February 2009 (diff | hist) . . (+8) . . m Module (stub)
- 19:23, 4 February 2009
(diff | hist) . .
**(+902)** . . N Module (Definition) - 19:03, 4 February 2009 (diff | hist) . . (-36) . . m Set theory (I wouldn't consider set theory to be part of abstract algebra)
- 20:20, 9 September 2008 (diff | hist) . . (+27) . . m Algebraically closed (Add category)
- 20:18, 9 September 2008 (diff | hist) . . (+54) . . m Number field (Add categories) (current)
- 20:17, 9 September 2008 (diff | hist) . . (+31) . . m Category:Field theory (Add category) (current)
- 18:05, 9 September 2008 (diff | hist) . . (+26) . . m Euclidean domain (Add category)
- 18:05, 9 September 2008 (diff | hist) . . (+38) . . m Skew field (Add categories) (current)
- 18:03, 9 September 2008 (diff | hist) . . (+36) . . m Noetherian (Add category)
- 18:02, 9 September 2008 (diff | hist) . . (+36) . . m Integral closure (Add category) (current)
- 18:01, 9 September 2008 (diff | hist) . . (+24) . . m Commutative ring (Add category)
- 17:57, 9 September 2008 (diff | hist) . . (+25) . . m Omega ring (Add category) (current)
- 17:53, 9 September 2008 (diff | hist) . . (+13) . . m Free group (Add category)
- 17:50, 9 September 2008 (diff | hist) . . (+17) . . m Homogeneous principal set (Link to group action article)
- 17:49, 9 September 2008 (diff | hist) . . (+17) . . m Burnside's Lemma (Link to group action article)
- 17:48, 9 September 2008 (diff | hist) . . (+17) . . m Orbit-stabilizer theorem (Link to group action article)
- 17:47, 9 September 2008 (diff | hist) . . (+17) . . m Stabilizer (Link to group action article) (current)
- 17:47, 9 September 2008 (diff | hist) . . (+17) . . m Fixer (Link to group action article) (current)
- 17:45, 9 September 2008 (diff | hist) . . (+17) . . m Homogeneous set (current)
- 16:07, 8 September 2008
(diff | hist) . .
**(+2,378)** . . N Opposite category (Wrote definition and talked (informally) about the duality principle.) (current) - 20:55, 7 September 2008 (diff | hist) . . (+14) . . m Fiber product (Better to use category theory terminology) (current)
- 20:45, 7 September 2008 (diff | hist) . . (+27) . . m Automorphism (It's easier just to define this interms of isomorphisms. Also, there are examples of categories where (the generalization of) the old statement isn't true.) (current)
- 20:17, 7 September 2008
(diff | hist) . .
**(+2,271)** . . Group action (Talked about group actions on other objects) (current) - 19:02, 7 September 2008 (diff | hist) . . (+27) . . m Least common multiple (added category)
- 18:59, 7 September 2008 (diff | hist) . . (+146) . . Talk:Goldbach's conjecture (current)
- 15:44, 7 September 2008 (diff | hist) . . (+32) . . m Orbit (Made notation consistent with the group action article) (current)
- 15:33, 7 September 2008 (diff | hist) . . (+36) . . m Orbit
- 15:29, 7 September 2008 (diff | hist) . . (+11) . . m Cayley's Theorem
- 15:20, 7 September 2008 (diff | hist) . . (+36) . . m Cayley's Theorem
- 14:27, 7 September 2008 (diff | hist) . . (-2) . . m Group action
- 14:26, 7 September 2008 (diff | hist) . . (+6) . . m Group action
- 14:25, 7 September 2008
(diff | hist) . .
**(+2,787)** . . N Group action (New page: In mathematics, groups often arise as (a subsets of) the set of permutations of some mathematical object (where the group multiplication law is just composition). So...) - 00:31, 7 September 2008 (diff | hist) . . (+374) . . N Talk:Quotient group (New page: I think it would be better (and more standard) for this article to focus on explicitly constructing the quotient group <math>G/H</math> (where <math>H</math> is a normal subgroup) and desc...) (current)
- 21:23, 6 September 2008 (diff | hist) . . (-18) . . m De Moivre's Theorem
- 00:33, 6 September 2008 (diff | hist) . . (+41) . . m Topology
- 19:52, 5 September 2008
(diff | hist) . .
**(+2,462)** . . N Field of fractions (New page: Given an integral domain, <math>R</math>, we may informally define the '''field of fractions''' of <math>R</math> (also called the '''fraction field''' or the '''quotient field'''), de...) - 16:29, 5 September 2008 (diff | hist) . . (+426) . . N Domain (Ring theory) (New page: A ring, <math>R</math>, is an '''domain''' if: * <math>0\neq 1</math> (where <math>0</math> and <math>1</math> are the additive and multiplicative identities, respectively) * and it c...) (current)
- 16:26, 5 September 2008 (diff | hist) . . (+25) . . m Integral domain
- 16:25, 5 September 2008 (diff | hist) . . (+25) . . m Zero divisor (current)
- 16:24, 5 September 2008
(diff | hist) . .
**(+760)** . . N Integral domain (New page: An '''integral domain''' is a commutative domain. More explicitly a ring, <math>R</math>, is an integral domain if: * it is commutative, * <math>0\neq 1<...) - 16:04, 5 September 2008 (diff | hist) . . (-16) . . m Dedekind domain (I think an integral domain is usually defined to be commutative)
- 15:32, 5 September 2008 (diff | hist) . . (+23) . . Continuity (Put original definition in more readable notation)
- 15:28, 5 September 2008
(diff | hist) . .
**(+1,386)** . . Continuity (There's no reason to only talk about continuity over the real numbers) - 14:58, 5 September 2008 (diff | hist) . . (+30) . . m Euler's identity
- 14:57, 5 September 2008 (diff | hist) . . (+30) . . m Cis
- 14:57, 5 September 2008 (diff | hist) . . (+29) . . m Imaginary unit (current)
- 14:56, 5 September 2008 (diff | hist) . . (+29) . . m Real part (current)
- 14:56, 5 September 2008 (diff | hist) . . (+29) . . m Imaginary part (current)
- 14:55, 5 September 2008 (diff | hist) . . (+30) . . m Imaginary number
- 14:54, 5 September 2008 (diff | hist) . . (+30) . . m Exponential form
- 14:51, 5 September 2008 (diff | hist) . . (+30) . . m Fundamental Theorem of Algebra
- 14:50, 5 September 2008 (diff | hist) . . (+29) . . m Roots of unity
- 14:50, 5 September 2008 (diff | hist) . . (+29) . . m De Moivre's Theorem
- 14:48, 5 September 2008 (diff | hist) . . (+29) . . m Complex plane
- 00:28, 3 September 2008 (diff | hist) . . (0) . . m Coset (current)
- 21:42, 2 September 2008
(diff | hist) . .
**(+625)** . . Functor (talked about contravariant functors) (current) - 21:32, 2 September 2008
(diff | hist) . .
**(+582)** . . Category (category theory) (discrete and opposite categories) - 21:16, 2 September 2008 (diff | hist) . . (+6) . . m Natural transformation (current)
- 21:15, 2 September 2008 (diff | hist) . . (+451) . . Natural transformation (Added diagram)
- 20:55, 2 September 2008
(diff | hist) . .
**(+862)** . . N Natural transformation (New page: A natural transformation is a way of turning one functor into another functor while 'preserving' the structure of the categories. Natural transformations...) - 20:13, 2 September 2008 (diff | hist) . . (+60) . . Isomorphism (current)
- 01:14, 2 September 2008
(diff | hist) . .
**(+743)** . . N Functor (New page: A '''functor''' is a type of map between two categories. More precisely, a functor <math>F:\mathcal{C} \to \mathcal{D}</math> is a mapping which * sends eve...) - 01:01, 2 September 2008 (diff | hist) . . (+27) . . m Category:Category theory (current)
- 01:00, 2 September 2008
(diff | hist) . .
**(+1,334)** . . Category (category theory) (examples of categories) - 00:34, 2 September 2008
(diff | hist) . .
**(+568)** . . Category (category theory) (motivation for definition) - 00:20, 2 September 2008 (diff | hist) . . (+452) . . Category (category theory)
- 00:12, 2 September 2008 (diff | hist) . . (+103) . . Category (category theory)
- 00:09, 2 September 2008 (diff | hist) . . (+40) . . m Category (category theory)
- 00:06, 2 September 2008
(diff | hist) . .
**(+930)** . . N Category (category theory) (New page: A category, <math>\mathcal{C}</math>, is a mathematical object consisting of: * A class, <math>\text{Ob}(\mathcal{C})</math> of objects. * For every pair of objects <math>A,B\in \text...) - 23:21, 1 September 2008 (diff | hist) . . (+47) . . N Category:Category theory (New page: Category theory is the study of categories.)
- 23:07, 1 September 2008
(diff | hist) . .
**(+1,123)** . . Field extension (Talked about K(a)) - 21:58, 1 September 2008 (diff | hist) . . (+245) . . Field extension (tower law)
- 21:42, 1 September 2008 (diff | hist) . . (-1) . . m Group
- 15:11, 13 May 2008 (diff | hist) . . (+130) . . Putnam historical results (→Team Winners) (current)
- 15:09, 13 May 2008 (diff | hist) . . (+110) . . Putnam historical results (→Putnam Fellows)
- 15:03, 13 May 2008 (diff | hist) . . (+210) . . USAMO historical results (2008 HMs)
- 14:58, 13 May 2008 (diff | hist) . . (+11) . . USAMO historical results (→USAMO Perfect Scorers)
- 22:43, 5 May 2008
(diff | hist) . .
**(+1,096)** . . 2000 AIME II Problems/Problem 14 (solution) - 13:09, 5 May 2008 (diff | hist) . . (+27) . . Galois theory (current)
- 22:20, 4 May 2008
(diff | hist) . .
**(+787)** . . 2002 AIME I Problems/Problem 12 (solution) - 21:57, 4 May 2008 (diff | hist) . . (0) . . m 2002 AIME I Problems/Problem 12
- 21:37, 4 May 2008 (diff | hist) . . (+240) . . Field extension (Defined the degree of an extension.)
- 21:23, 4 May 2008
(diff | hist) . .
**(+1,231)** . . Math Day at the Beach (Desription of the competition.) - 20:52, 4 May 2008 (diff | hist) . . (+250) . . Squeeze Theorem (The old proof implicitly assumed that f converged. Replaced this with an epsilon-delta proof.)
- 20:40, 4 May 2008 (diff | hist) . . (+17) . . Squeeze Theorem (There's no need for the inequalities to be strict)
- 14:48, 4 May 2008 (diff | hist) . . (+442) . . Talk:Squeeze Theorem
- 15:34, 12 March 2008 (diff | hist) . . (0) . . 2006 AIME II Problems/Problem 10 (All the binomial coffieients were upside down.)
- 15:58, 3 December 2007 (diff | hist) . . (0) . . m Quadratic reciprocity (Fixed denominators.)
- 01:17, 3 December 2007
(diff | hist) . .
**(+645)** . . 2000 AIME I Problems/Problem 7 (Added solution) - 00:09, 3 December 2007 (diff | hist) . . (+7) . . m Area (Corrected area formula)
- 23:51, 2 December 2007 (diff | hist) . . (+396) . . USAMO historical results (Added 2007 results)
- 11:37, 27 November 2007 (diff | hist) . . (+2) . . m 2000 AIME II Problems/Problem 13 (→Solution)
- 01:37, 27 November 2007
(diff | hist) . .
**(+684)** . . 2000 AIME II Problems/Problem 13 (Added solution) - 01:22, 27 November 2007
(diff | hist) . .
**(+1,062)** . . 2000 AIME II Problems/Problem 12 (Added solution)