MATH 110AH - Fall 2011
Final exam: take home part
NAME:
STUDENT ID #:
You may use the textbook and your notes.
Please work this exam on your own.
Please show all your work.
There are 5 problems for a total of 20 points.
1. (4 points) Let G be a nite group
Industry Research
Chapter Three
Industry Research
You will learn the types of information
buyers and product developers use to
design merchandise for their customer.
You will learn the resources used to
research various fashion industries.
Determine Wha
Practice Problem Set 2 - Solution
July 28, 2015
Problem 1 Let a, b, and c be nonzero integers. Show that if c|ab and p is a prime divisor of c, then p
divides either a or b.
Solution.
Since p|c and c|ab, it is clear that p|ab. Since p is a prime number, p
Practice Problem Set 2-Ideals-solution
July 27, 2015
Problem 1 Let R be a ring, and I be an ideal of R. Prove that there is a bijection between the two sets:
cfw_J|J is an ideal of R containing I.,
cfw_J |J is an ideal of R/I..
Solution.
Let A be the form