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MATH 831 HOMEWORK SOLUTIONS – …

MATH 831 HOMEWORK SOLUTIONS – ASSIGNMENT 3 Exercise 2.1. Show that (Z/mZ)⊗ Z (Z/nZ) = 0 if m,nare coprime. Proof. It suffices to prove that x⊗y= 0 for all x∈Z/mZ and y∈Z/nZ, since (Z/mZ)⊗
www2.gsu.edu/~matyxy/math831/831-3.pdf

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In mathematics, what do Z/pZ and Z/nZ stand for? | …

Oct 08, 2010 · In mathematics, what do Z/pZ and Z/nZ stand for? where Z (boldface) is set ... Z/mZ ∩ Z/nZ = Z/rZ, where r is the least common multiple of m and n.
answers.yahoo.com/question/index?qid=2010100804480...

Multiplicative group of integers modulo n - Wikipedia

In modular arithmetic the set of congruence classes relatively prime to the modulus number, say n, form a group under multiplication called the multiplicative group of …
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HW 2 MINGFENG ZHAO October 04, 2012 1. Show that (Z=mZ) (Z=nZ) = 0 if m;nare coprime. Proof. Since mand nare coprime, then there exists some s;t2Z such that
www.math.uconn.edu/~glaz/math5020f12/Homework and ...

Math 581 Problem Set 9 - Clemson University, South …

Math 581 Problem Set 9 1. Let mand nbe relatively prime positive integers. (a) Prove that Z=mnZ ˘= Z=mZ Z=nZ as RINGS. (Hint: First Isomor-phism Theorem)
cecas.clemson.edu/~jimlb/Teaching/Math581/Math581h...