Text: "Algebra" by T.W. Hungerford Springer-Verlag (GTM 73).



Homework is due for the begining of the Wednesday lecture

• Due Wednesday January 19:
  Section 1.1: 5, 7, 8, ,10, 13, 15
  Section 1.2: 1, 2, 5, 8, 9, 11,
  Section 1.4: 1,
  Section 1.5: 1, 2, 6.
  
  
• Due Wednesday January 26:
  Section 1.2: 18, 19(a),
  Section 1.3: 1, 2, 8, 9,
  Section 1.4: 5, 6, 8,
  Section 1.5: 11, 18.
  
  
  
• Due Wednesday February 2:
  Section 1.5: 19, 21,
  Section 2.4: 1, 2, 3, 4, 5, 7, 9,
  Section 2.5: 2,
  Extra Problem:
  Suppose G is finite. If H is a proper subgroup then G is not equal to the union of all conjugates of H.
  
  
• Due Wednesday February 9:
  Section 1.8: 5, 9, 13,
  Section 2.5: 3,5, 6, 13,
  Section 2.7: 4, 5.
  
  
• Due Wednesday 23:
  Section 2.3: 1, 3, 5, 6, 8, 9, and 13,
  Section 2.7: 13.
  
  
• Due Wednesday March 2:
  Section 3.1: 11, 12, 14, 18,
  Section 3.2: 1, 3, 10, 17, 18, 20.
  
  
• Due Wednesday March 16:
  Section 3.6: 1, 9, 10,
  Section 8.4: 7 (this is not a typo!)
  Extra problem: Let F be a field and suppose R is a ring with 1. A ring homo from F to R must be injective.
  
  
• Due Wednesday March 23:
  Section 8.2: 2, 5, 12(a),
  Section 8.7: 8(a),9,
  Section 3.4: 5, 7
  
  
• Due Wednesday March 30:
  Appendix of Chapter V: 8, 9,
  Section 6.1: 1, 2, 4, 6, 7, 8.
  
  
• Due Wednesday April 6:
  Section 3.3: 10, 11,
  Section 5.1 (page 240): 1, 3, 10, 16, 19, 23,
  Section 5.2 (page 255): 1, 2.
  
  
• Due Wednesday April 13:
  Compare the presentation in class (using pregeometries) to Section 1 of Chapter 6.
  Section 6.1: 3,
  Section 5.1: 7, 12, 18 and
  Section 5.2: 3, 6.
  
  
• Due Friday April 22:
  Section 5.2: 16
  Section 5.3: 1, 2, 5, 9, 10,
  Section 5.5: 1, 2.