Is the set of all real numbers of the form a + b5, where a and b are rational numbers a ring with respect to the usual operations of addition and multiplication? If not, indicate at least one condition that fails to hold.

Is the set of all real numbers of the form a + b5, where a and b are rational numbers a ring with respect to the usual operations of addition and multiplication? If not, indicate at least one condition that fails to hold.

Name: Be thorough in answering this question. Is the set of all real numbers
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Description: Be thorough in answering this question. Is the set of all real numbers of the form a + b5, where a and b are rational numbers a ring withrespect to the usual operations of addition and multiplication? If not, indicate at least onecondition that fails

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.1: Ideals And Quotient Rings

Problem 25E: Given that the set S={[xy0z]|x,y,z} is a ring with respect to matrix addition and multiplication,...

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