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MATH 110A  Algebra  UCLA Study Resources

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

Pfinsol
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 cab and p is a prime divisor of c, then p divides either a or b. Solution. Since pc and cab, it is clear that pab. Since p is a prime number, p

PfinIdealssol
School: UCLA
Course: Algebra
Practice Problem Set 2Idealssolution 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_JJ is an ideal of R containing I., cfw_J J is an ideal of R/I.. Solution. Let A be the form