MT312 Spring 2011

Homework Assignments (from Topics in Algebra, by I. N. Herstein).

Note: Assignments due dates are arranged to give you adequate study time prior to the examinations.  Assignments are due in class on the day shown.  Late papers are graded at the instructor's prerogative and may not be awarded credit.

Please note:  You are expected to show your work on all problems.

All HW answers have been removed from the website as the course is over.

 Assignment Number Due Date Problems Assignment 1 Wednesday, January 26, 2011 Section 4.1, Numbers 3, 6, 8, 9, 12.  Extra Credit:  Number 10. Assignment 2 Wednesday, February 2, 2011 Section 4.2, Numbers 2, 4, 6, 7, 8, 10, 17. Assignment 3 Wednesday, February 9, 2011 Section 4.3, Numbers 1, 2, 6, 7, 11 Section 4.4, Number 2 Assignment 4 Wednesday, February 16, 2011 Section 4.4, Numbers 3, 4, 5, 8, 11, 12 Section 4.5, Numbers 4, 5 [Number 5 asks you to prove that a module homomorphism T from M to N is one-to-one if and only if Ker(T)=(0)]. Assignment 5 Friday, March 4, 2011 Section 3.9, Numbers 2ac, 4a [ignore the word "directly"], 7 Section 3.10, Numbers 2, 3 Section 5.1, Numbers 2, 3a, 4, 8, 9. Note:  one of these problems requires a main theorem from group theory. Assignment 6 Monday, March 21, 2011 Section 5.3, Numbers  5, 6a, 6c, 7, 10ab, 11, 12, 13.  [Note: 6a and 6c will be graded as separate problems.] Assignment 7 Wednesday, March 30, 2011 Section 3.10, Number 4 Section 5.4, Number 7c Section 5.5, Numbers 2, 5, 6 [short assignment due to examination on April 4] Assignment 8 Friday, April 15, 2011 Section 7.1, Numbers 2, 5 Section 5.6, Numbers 2, 4, 5, 8a, 9a, 12, 13c Assignment 9 Monday, May 2, 2011 Section 5.6, Number 14b Section 5.7, Number 3 Section 5.8, Numbers 5ab, 6ab