User Steven-Owen - Mathematics Stack Exchange

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	seen	May 17 at 23:35
stats	profile views	161

	1,335 reputation	bio	website	none	visits	member for	1 year, 2 months
929 badges		location	everywhere		seen	May 17 at 23:35

39

95

votes

15

answers

5

kviews

In the history of mathematics, has there ever been a mistake?

math-history fake-proofs

apr 28 at 18:46 Pete L. Clark 44.5k

42

48

votes

39

answers

5

kviews

What are some examples of a mathematical result being counterintuitive?

intuition big-list

may 5 at 7:12 Gastón Burrull 1,271

2

10

votes

1

answer

147

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Cauchy's Integral Formula and Green's Theorem

complex-analysis

may 9 '12 at 16:47 Michael Hardy 48k

8

votes

3

answers

128

views

Do complex eigenvalues of a real matrix imply a rotation-dilation?

linear-algebra

mar 25 at 14:31 Marc van Leeuwen 23.8k

2

8

votes

2

answers

149

views

Show that the matrix $A$ with integer entries is injective on the reals to $\mathbb{R}^m$ iff it is injective on the integer lattice.

linear-algebra modules integer-lattices

apr 16 '12 at 2:15 N. S. 27.6k

1

5

votes

1

answer

61

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Proving without reciprocity laws that if $p>0$ a prime such $p=1(5)$ then 5 is a quadratic residue mod $p$.

number-theory quadratic-reciprocity

oct 30 at 21:54 dinoboy 1,749

1

5

votes

2

answers

173

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Let K/F be a finite extension, given a polynomial in K[x] find another so that their product is in F[x]

homework abstract-algebra polynomials field-theory galois-theory

mar 18 '12 at 21:49 darij grinberg 881

4

votes

1

answer

39

views

Do Groebner bases give the smallest generating set for Ideals?

commutative-algebra

apr 13 at 16:54 Jim 8,368

1

4

votes

1

answer

91

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Harris' AG ex 2.24: projective variety under regular map.

algebraic-geometry

apr 6 at 11:35 Georges Elencwajg 44.8k

4

votes

2

answers

80

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Show that $k[x,y,z]/(xz-y^2)$ is not a UFD.

ring-theory

apr 3 at 20:58 Mariano Suárez-Alvarez♦ 53.2k

3

4

votes

2

answers

238

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Show that $\mathbb{Q}^+/\mathbb{Z}^+$ cannot be decomposed into the direct sum of cyclic groups.

abstract-algebra group-theory

apr 30 '12 at 22:05 Arturo Magidin 158k

3

4

votes

2

answers

204

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Elementary proof that if $A$ is $m \times n$ matrix map from $\mathbb{Z}^m$ then the map is surjective iff the gcd of det of minors is 1.

abstract-algebra modules determinant integer-lattices

apr 17 '12 at 19:05 Martin Brandenburg 22.5k

4

votes

2

answers

160

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Finding the irreducible subrepresentations.

homework abstract-algebra representation-theory

mar 18 '12 at 5:52 KCd 5,920

3

votes

1

answer

43

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Radical Ideals: Show that $\sqrt{\sqrt{I}+\sqrt{J}}=\sqrt{I+J}$

abstract-algebra ideals

feb 25 at 21:39 Steven-Owen 1,335

2

3

votes

3

answers

72

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Is 3 ever a seventh power mod a prime $p$ if $p\equiv 1 (7)$

homework number-theory quadratic-reciprocity

nov 3 at 19:17 Community♦ 1

3

votes

3

answers

306

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Are questions of convergence important in real life?

convergence math-history applications

may 14 '12 at 23:35 Steven Stadnicki 14.2k

1

3

votes

2

answers

203

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Given $\sum |a_n|^2$ converges and $a_n \neq -1$, show that $\prod (1+a_n)$ converges to a non-zero limit implies $\sum a_n$ converges.

homework sequences-and-series convergence products

apr 15 '12 at 21:26 Robert Israel 86.3k

3

votes

2

answers

84

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$|\sum |a_n| - |a_n|^2|$ is bounded and $\sum|a_n|^2$ converges , what can be concluded about $\sum a_n$?

sequences-and-series convergence

apr 15 '12 at 20:29 Did 102k

3

votes

1

answer

57

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Given a positive odd integer $n$, compute $\sum_{m\neq n, m \text{ odd}} \frac1{n^2-m^2}$ [duplicate]

sequences-and-series

apr 6 '12 at 20:50 Brian M. Scott 154k

3

votes

1

answer

240

views

Character of the $n^{\text{th}}$ symmetric power of the standard representation of $S_3$

representation-theory symmetric-polynomials

apr 2 '12 at 16:54 Steven-Owen 1,335

2

votes

1

answer

41

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A linear subspace of projective space

algebraic-geometry projective-geometry

mar 29 at 12:58 Georges Elencwajg 44.8k

2

votes

1

answer

38

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The closure of an irreducible subset of an irreducible space is irreducible.

general-topology

feb 25 at 22:09 Alex Becker♦ 28.1k

1

2

votes

1

answer

39

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Equivalence of Affine Varieties defined as an image and as vanishing set.

algebraic-geometry

feb 10 at 19:30 Jim 8,368

2

votes

1

answer

83

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Question about Irreducible Polynomials Being Relatively Prime.

abstract-algebra irreducible-polynomials

feb 10 at 14:29 Martin Brandenburg 22.5k

1

2

votes

3

answers

171

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Quadratic Extension of Finite field

finite-fields extension-field

dec 2 at 4:25 Dilip Sarwate 7,806

2

votes

1

answer

109

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Using characters in finite fields to find number of solutions to polynomials.

homework finite-fields

dec 1 at 19:54 Steven-Owen 1,335

2

votes

1

answer

212

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What is the module $\operatorname{Hom}(M,N)$ where $R=\mathbb{C}[x]$ and $M=R/(x)$ and $N=R/(x-1)$.

abstract-algebra ring-theory modules

may 8 '12 at 23:54 Community♦ 1

2

votes

1

answer

336

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Three Dimensional Fourier Transform of Radial Function without Bessel and Neumann

fourier-analysis spherical-coordinates

may 7 '12 at 16:57 joriki 92.5k

1

2

votes

3

answers

111

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Is this $\mathbb{C}[t]$ module cyclic?

linear-algebra abstract-algebra modules

apr 30 '12 at 4:21 Mariano Suárez-Alvarez♦ 53.2k

1

2

votes

2

answers

141

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Classify finitely generated modules over the ring $\mathbb{C}[\epsilon]$ where $\epsilon^2=0$

modules abelian-groups

apr 30 '12 at 1:53 Mariano Suárez-Alvarez♦ 53.2k

Steven-Owen

52 Questions