For example H = {he Z10 ne Z} = {02468 is the set of even numbers in modulo 10 includes addition and multiplication operations modulo 10. a) Indicate the unitary element in H. b) Show H is a commutative ring.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.1: Definition Of A Ring
Problem 44E: 44. Consider the set of all matrices of the form, where and are real numbers, with the...
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For example H = {he Z10 ne Z} = {02468 is the set of even numbers in
modulo 10 includes addition and multiplication operations modulo 10.
a) Indicate the unitary element in H.
b) Show H is a commutative ring.
Transcribed Image Text:For example H = {he Z10 ne Z} = {02468 is the set of even numbers in modulo 10 includes addition and multiplication operations modulo 10. a) Indicate the unitary element in H. b) Show H is a commutative ring.
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