Math 421-01: Algebraic Structures

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• Syllabus
• Writing Guidelines
• Homework:
  1. Due 8/31: Write up solutions to "Symmetries of the square" and "Properties of structures"
  2. Due 9/7: Page 54, #2; Page 54, #3, 11; Page 37, #2.
  3. Due 9/14: Page 54, #9, 14, 15, 16
  4. Due 9/21: Page 67, #2, 8 (note the definition of U(n) on page 49), 12, 43.
  5. Due 10/1: Page 67 #10, 30, 28, 33; Page 82 #4, 10, 22, 60
  6. Due 10/15: Page 112, #4, 6, 8, 13, 50, 54
  7. Due 10/29: Page 132 #4, 6, 10, 20, and prove that a group homomorphism is injective if and only if its kernel is the trivial subgroup; p. 134 #35, 36, 38.
  8. Due 11/5: Page 148 #1, 4, 10, 13, 15
  9. Due 11/19: Let G be an Abelian group, with H a subgroup of G. Prove that H is normal.
  10. Due 11/26: Page 191 #1, 2, 4, 48
  11. Due 12/3: Page 165 #2, 5, 8, 68 (for the last, read pp. 159--165); p. 194 #52
  12. Due 12/10: Page 240 #2, 3, 20, 22, 40; Prove that in any ring, the additive identity has no multiplicative inverse; p. 254 #4, 18, 24, 36, 50.

Wesley Calvert
Department of Mathematics & Statistics
Faculty Hall 6C
Murray State University
Murray, Kentucky
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