Every subgroups of cyclic group isSelect one:a. cyclic and normalb. not cyclic and normalC. cyclic and not normal Which of the following binary operations are closed?Select one:a. function composition of polynomials with real coefficientsb. division of nonzero integersC. Non of thesed. subtraction of positive integers

Since you have asked multiple questions in single request.so we will answering only first question.…

Answered: Every subgroups of cyclic group is…

Every subgroups of cyclic group is Select one: a. cyclic and normal b. not cyclic and normal C. cyclic and not normal RENE

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.1: Polynomials Over A Ring

Problem 5E: 5. Decide whether each of the following subset is a subring of , and justify your decision in each...

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Question

Every subgroups of cyclic group is
Select one:
a. cyclic and normal
b. not cyclic and normal
C. cyclic and not normal

Which of the following binary operations are closed?
Select one:
a. function composition of polynomials with real coefficients
b. division of nonzero integers
C. Non of these
d. subtraction of positive integers

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