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- 19:29, 29 April 2009 (diff | hist) . . (+209) . . N Ch 22 -- 10 (New page: Category:MA453Spring2009Walther I used theorem 22.3 for this problem. Basically I just looked for the smallest n with 6 divisors. I got n=12.<br> --Jniederh 00:22...) (current)
- 19:28, 29 April 2009 (diff | hist) . . (+207) . . N Ch 22 -- 4 (New page: Category:MA453Spring2009Walther GF(81)* has 80 elements so the generators are given by U(80). The number of generators are given by |U(80)| = 32. --Jniederh 00:22, ...) (current)
- 19:26, 29 April 2009 (diff | hist) . . (+163) . . N Ch 22 -- 2 (New page: Category:MA453Spring2009Walther The book pretty much does this problem for us right before example 3. --Jniederh 00:22, 30 April 2009 (UTC)) (current)
- 19:25, 29 April 2009 (diff | hist) . . (+136) . . N Ch 22 -- 1 (New page: Category:MA453Spring2009Walther Theorem 22.2 helped with this problem.<br> --Jniederh 00:22, 30 April 2009 (UTC)) (current)
- 19:24, 29 April 2009 (diff | hist) . . (+5) . . Week 15
- 19:22, 29 April 2009 (diff | hist) . . (+98) . . N Ch. 22 (New page: Theorem 22.2 helped with this problem.<br> --~~~~) (current)
- 19:20, 29 April 2009 (diff | hist) . . (+17) . . Week 15
- 19:18, 29 April 2009 (diff | hist) . . (+113) . . N Week 15 (New page: Category:MA453Spring2009Walther Problem 1 Problem 2 Problem 4 Problem 10 Problem 30)
- 19:17, 29 April 2009 (diff | hist) . . (+79) . . MA 453 Spring 2009 Walther Homework (current)
- 15:21, 15 April 2009 (diff | hist) . . (+238) . . N Chapter 20 Question 1 (New page: For this problem I got that [1, 5^1/3, 5^2/3] formed the basis for Q(5^1/3). That is to say that the elements can be formed by a linear combination: a_1 + a_2*5^1/3 + a_3*5^2/3.<br> --~~~...) (current)
- 15:17, 15 April 2009 (diff | hist) . . (+37) . . Week 13
- 15:16, 15 April 2009 (diff | hist) . . (+193) . . N Week 13 (New page: Chapter 20 Question 1 Chapter 20 Question 29 Chapter 20 Question 31 Chapter 20 Question 5 Chapter 20 Question 19 Chapter 20 Question 21 [[Chapter 20 Question...)
- 15:15, 15 April 2009 (diff | hist) . . (+61) . . MA 453 Spring 2009 Walther Homework
- 17:44, 8 April 2009 (diff | hist) . . (+195) . . Chapter 17 Question 10
- 17:14, 8 April 2009 (diff | hist) . . (-1) . . Chapter 17 Question 10
- 17:14, 8 April 2009 (diff | hist) . . (+38) . . Chapter 17 Question 10
- 17:13, 8 April 2009 (diff | hist) . . (+140) . . N Question 4 (New page: Think I might be stumped on this problem. I was thinking to show that Eisenstein fails when n isn't prime, but I'm not sure how to do that.)
- 17:12, 8 April 2009 (diff | hist) . . (+20) . . Chapter 17 Question 10
- 17:12, 8 April 2009 (diff | hist) . . (+273) . . Chapter 17 Question 10
- 20:29, 31 March 2009 (diff | hist) . . (+235) . . N Ch. 16 - Problem 12 (New page: Category:MA453Spring2009Walther For this problem I got q = 4x^2 + 3x + 5 and r = 4x + 1. Pretty much I just did long division and then verified my answer via f = q*g + r.<br> --~~~~)
- 15:20, 25 March 2009 (diff | hist) . . (+415) . . N Ch. 15 - Problem 54 (New page: Category:MA453Spring2009Walther I 'm not very sure about this problem. What I did is observe a field contains no zero divisors. Because a ring that isn't an integral domain has a z...) (current)
- 15:18, 25 March 2009 (diff | hist) . . (+4) . . Ch. 14 - Problem 26 (current)
- 15:17, 25 March 2009 (diff | hist) . . (+413) . . N Ch. 14 - Problem 26 (New page: Category:MA453Spring2009Walther From theorem 14.4 we know that R/A is a field if A is maximal. In this case we have R = R[x] and A = <x^2+1>, so we must show that <x^2+1> is maximal....)
- 15:15, 25 March 2009 (diff | hist) . . (+38) . . Ch. 13 - Problem 54 (current)
- 15:14, 25 March 2009 (diff | hist) . . (+99) . . Ch. 14 - Problem 6 (current)
- 15:14, 25 March 2009 (diff | hist) . . (+232) . . N Ch. 14 - Problem 6 (New page: Based on figure 14.1 and example 14 in the book I believe that the maximal ideals of a Z_n where <math>n=p_1^{t_1}p_2^{t_2}...p_m^{t_m}</math> and all the p's are prime and unique is just ...)
- 15:08, 25 March 2009 (diff | hist) . . (+314) . . N Ch. 13 - Problem 54 (New page: I wasn't entirely sure about this problem, but I think the general idea is that the multiplicative set of F of nonzero elements forms a group under multiplication. Since it has n-1 elemen...)
- 16:49, 23 March 2009 (diff | hist) . . (0) . . Week 10 (current)
- 16:49, 23 March 2009 (diff | hist) . . (+185) . . N Week 10 (New page: Category:MA453Spring2009Walther Ch. 13 - Problem 41 Ch. 13 - Problem 54 Ch. 14 - Problem 6 Ch. 14 - Problem 26 Ch. 13 - Problem 33 Ch. 13 - Problem 54)
- 16:46, 23 March 2009 (diff | hist) . . (+76) . . MA 453 Spring 2009 Walther Homework
- 19:06, 11 March 2009 (diff | hist) . . (+111) . . Ch. 12 - Problem 20 (current)
- 19:05, 11 March 2009 (diff | hist) . . (+775) . . Ch. 13 - Problem 10
- 09:00, 11 March 2009 (diff | hist) . . (+388) . . Ch. 13 - Problem 10
- 22:33, 10 March 2009 (diff | hist) . . (+926) . . N Ch. 13 - Problem 28 (New page: The first thing I did with this problem was find a ring candidate containing exactly 6 elements. There is only on Abelian group with order p, where p is prime. From previous chapters we ...)
- 22:05, 10 March 2009 (diff | hist) . . (+365) . . N Ch. 13 - Problem 10 (New page: For this problem you can consider things such as 1/2 as the multiplicative inverse of 2. Then you have to ask, what element in Z7 is an inverse of 2? 2*4=8 and 8=1 in Z7 so a reasonable ...)
- 21:41, 10 March 2009 (diff | hist) . . (+276) . . Ch. 13 - Problem 6 (current)
- 21:16, 10 March 2009 (diff | hist) . . (+380) . . N Ch. 12 - Problem 20 (New page: Category:MA453Spring2009Walther Generally speaking, 2x2 matrices have the form {(a,b), (c,d)} where (a,b) is the first row and (c,d) is the second. The inverse of any 2x2 matrix, M, ...)
- 09:58, 26 February 2009 (diff | hist) . . (+605) . . Chapter 8- Problem 34 (current)
- 20:37, 25 February 2009 (diff | hist) . . (+170) . . Question 3 from file
- 19:45, 25 February 2009 (diff | hist) . . (+4) . . Chapter 8- Problem 34
- 19:45, 25 February 2009 (diff | hist) . . (+59) . . Chapter 8- Problem 34
- 19:45, 25 February 2009 (diff | hist) . . (+696) . . Chapter 8- Problem 52
- 19:26, 25 February 2009 (diff | hist) . . (+37) . . Chapter 8- Problem 34
- 19:25, 25 February 2009 (diff | hist) . . (+965) . . N Chapter 8- Problem 34 (New page: For this problem you have to use theorem 8.1 in the book. It states that |(a,b)| = lcm(|a|,|b|). In this case we want to find the subgroups so that |(a,b)| = 15 = lcm(|a|,|b|). First we...)
- 17:44, 23 February 2009 (diff | hist) . . (+365) . . N Chapter 8- Problem 8 (New page: Category:MA453Spring2009Walther This problem can be solved by looking at corollary 2 of theorem 8.2. According to this corollary Z_a x Z_b is isomorphic to Z_ab only if a and b are r...)
- 18:09, 18 February 2009 (diff | hist) . . (+100) . . Question 2 from file
- 10:59, 18 February 2009 (diff | hist) . . (+121) . . Chapter 10: Problem 24
- 10:52, 18 February 2009 (diff | hist) . . (+679) . . Chapter 10: Problem 24
- 10:16, 18 February 2009 (diff | hist) . . (-1) . . Chapter 10: Problem 24
- 10:16, 18 February 2009 (diff | hist) . . (+37) . . Chapter 10: Problem 24
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