- 07:37, 6 December 2012 (diff | hist) . . (+295) . . N Homework Problem 30, Chapter 13 (New page: Q: Prove that there is no integral domain with exactly 6 elements. Can your argument be adapted to show that there is no integral domain with exactly four elements? What about 15 elements?...) (current)
- 07:35, 6 December 2012 (diff | hist) . . (+53) . . Homework Problem 10, Chapter 13 (current)
- 07:34, 6 December 2012 (diff | hist) . . (+777) . . N Homework Problem 10, Chapter 13 (New page: Q: In Z7, give a reasonable interpretation for the expressions 1/2, - 2/3 , sqrt(-3), and -1/6. A: We can rewrite each expression in Z7 as follows: Let x belong to Z7 such that: 2^-1 = ...)
- 07:17, 6 December 2012 (diff | hist) . . (+84) . . N Homework Problem 6, Chapter 13 (New page: Q: Find a nonzero element in a ring that is neither a zero- divisor nor a unit. A:) (current)
- 06:34, 6 December 2012 (diff | hist) . . (+53) . . Homework Problem 5, Chapter 13 (current)
- 06:33, 6 December 2012 (diff | hist) . . (+53) . . Homework Problem 20, Chapter 12 (current)
- 06:33, 6 December 2012 (diff | hist) . . (+65) . . Homework Problem 2, Chapter 12 (current)
- 06:26, 6 December 2012 (diff | hist) . . (+167) . . MA 453 Fall 2012 Walther Homework
- 03:56, 2 December 2012 (diff | hist) . . (+280) . . N Homework Problem 5, Chapter 13 (New page: Q: Show that every nonzero element of Zn is a unit or a zero-divisor. A: We know that Zp (p prime) is an integral domain and thus has no zero-divsiors. We also know that for Zn where (n...)
- 03:46, 2 December 2012 (diff | hist) . . (+214) . . N Homework Problem 20, Chapter 12 (New page: Q: Describe the elements of M2(Z) (see example 4) that have multiplicative inverses (units). A: I don't really know. I got this problem wrong, and I'm not quite sure why. Some help would ...)
- 03:43, 2 December 2012 (diff | hist) . . (+569) . . Homework Problem 2, Chapter 12
- 03:34, 2 December 2012 (diff | hist) . . (-2) . . Homework Problem 2, Chapter 12
- 03:33, 2 December 2012 (diff | hist) . . (+363) . . N Homework Problem 2, Chapter 12 (New page: Q: The ring {0, 2, 4 , 6, 8] under addition and multiplication modulo 10 has a unity. Find it. A: By definition we know that the unity of a ring is a nonzero element that is an identity u...)
- 03:29, 2 December 2012 (diff | hist) . . (+217) . . N Chapters 12 and 13, MA 453 (New page: Homework Problem 2, Chapter 12 Homework Problem 20, Chapter 12 Homework Problem 5, Chapter 13 Homework Problem 6, Chapter 13 Homework Problem 10, Chapter 13 [[Home...) (current)
- 03:26, 2 December 2012 (diff | hist) . . (+222) . . MA 453 Fall 2012 Walther Homework
- 09:06, 30 November 2012 (diff | hist) . . (+847) . . N Problem 34 : Finite Fields (New page: Q: Show that no finite field is algebraically closed. A: This is how I went about doing it. We know from the previous chapter that if a field is algebraically closed then by definition...) (current)
- 04:11, 30 November 2012 (diff | hist) . . (+13) . . Problem 14 : Finite Fields (current)
- 04:11, 30 November 2012 (diff | hist) . . (+581) . . N Problem 14 : Finite Fields (New page: Q: Find the smallest field that has exactly 6 subfields? From our work and theorem 22.3 we know that a field of order p^n has a single subfield of order p^m for each m which divides n. So...)
- 04:06, 30 November 2012 (diff | hist) . . (+789) . . N Problem 8 : Finite Fields (New page: Q: How many elements of the cyclic group GF(81)* are generators? A: So here is what I got I could be wrong, and I am open to suggestions and/or corrections. The corresponding multiplicat...) (current)
- 03:51, 30 November 2012 (diff | hist) . . (+2) . . Problem 2 : Finite Fields (current)
- 03:50, 30 November 2012 (diff | hist) . . (+483) . . N Problem 2 : Finite Fields (New page: This problem is not very hard to prove. Especially if you read then end of page 387 and the beginning of page 388 (The proof is basically there). First off: Suppose F is a subfield of GF(...)
- 03:44, 30 November 2012 (diff | hist) . . (+424) . . N Problem 1 : Finite Fields (New page: This problem looks pretty easy considering what we learned from last chapter. Moreover if you prove problem 2 first it's trivial. (See Problem 2 : Finite Fields ) Since 3^6 = 729, 9=3^2 t...) (current)
- 03:40, 30 November 2012 (diff | hist) . . (+4) . . Last homework, MA453 (current)
- 03:40, 30 November 2012 (diff | hist) . . (+151) . . N Last homework, MA453 (New page: Problem 1 : Finite Fields Problem 2 : Finite Fields Problem 8 : Finite Fields Problem 14 : Finite Fields Problem 34 : Finite Fields)
- 03:38, 30 November 2012 (diff | hist) . . (+26) . . MA 453 Fall 2012 Walther Homework
- 06:39, 29 October 2012 (diff | hist) . . (+52) . . Chapter 16: Problem 36 (current)
- 05:18, 29 October 2012 (diff | hist) . . (+26) . . N Hw 9 (New page: Chapter 16: Problem 36) (current)
- 05:18, 29 October 2012 (diff | hist) . . (+10) . . MA 453 Fall 2012 Walther Homework
- 05:17, 29 October 2012 (diff | hist) . . (+879) . . N Chapter 16: Problem 36 (New page: Q: Find the remainder upon dividing 98! by 101. By Wilson's theorem (problem 34) we know that for every integer n>1, (n-1)! mod n = n -1 which is equivalent to the statement for every int...)
- 03:50, 10 October 2012 (diff | hist) . . (0) . . MA 453: Chapter 12 Problem 2
- 03:49, 10 October 2012 (diff | hist) . . (+1) . . Hw 7 (current)
- 03:48, 10 October 2012 (diff | hist) . . (+1) . . MA 453 Fall 2012 Walther Homework
- 03:48, 10 October 2012 (diff | hist) . . (+2) . . MA 453 Fall 2012 Walther Homework
- 03:47, 10 October 2012 (diff | hist) . . (+31) . . N Hw 7 (New page: MA 453 Chapter 12 Problem 2)
- 03:46, 10 October 2012 (diff | hist) . . (+7) . . MA 453 Fall 2012 Walther Homework
- 03:45, 10 October 2012 (diff | hist) . . (-26) . . MA 453: Chapter 12 Problem 2
- 03:45, 10 October 2012 (diff | hist) . . (+926) . . N MA 453: Chapter 12 Problem 2 (New page: The problem is giving you that the {0, 2 , 4 , 6 ,8} under addition and multiplication modulo 10 has a unity, and wants you to find it. By definition we know the unity of a ring is a no...)
- 08:00, 30 September 2012 (diff | hist) . . (+6) . . Chapter 4: Problem 9 MA 453 Fall 2012 (current)
- 02:24, 30 September 2012 (diff | hist) . . (+17) . . MA 453 Fall 2012 Walther Homework
- 02:24, 30 September 2012 (diff | hist) . . (+857) . . N Chapter 4: Problem 9 MA 453 Fall 2012 (New page: Chapter 4: Problem 9 From theorem 4.3 we know that "for each positive divisor k of n, the group <a> has exactly one subgroup of order k" ==> <a^(n/k)> "For each positive divisor k of n, t...)
- 02:23, 30 September 2012 (diff | hist) . . (-857) . . Chapter 4: Chapter 4: Problem 9 (Removing all content from page) (current)
- 02:22, 30 September 2012 (diff | hist) . . (-841) . . MA 453 Fall 2012 Walther Homework
- 02:21, 30 September 2012 (diff | hist) . . (+857) . . N Chapter 4: Chapter 4: Problem 9 (New page: Chapter 4: Problem 9 From theorem 4.3 we know that "for each positive divisor k of n, the group <a> has exactly one subgroup of order k" ==> <a^(n/k)> "For each positive divisor k of n, t...)
- 15:53, 9 September 2012 (diff | hist) . . (+865) . . N MA 453 Fall 2012 Walther Homework (Chapter 4 Problem 9)
