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##### MATH 110A - Algebra - UCLA Study Resources
• 2 Pages
###### Final part - Christian

School: UCLA

Course: Algebra

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

• 2 Pages
###### Pfin-sol

School: UCLA

Course: Algebra

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

• 4 Pages
###### Pfin-Ideals-sol

School: UCLA

Course: Algebra

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

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