Which of the following pairs R and M are not an example of a module? a. M is a subring of a ring R b. R, any commutative ring, and I an ideal of R. R=F a field; M an F-vector space d. R = Z, the ring of integers; M, any abelian group C.

Which of the following pairs R and M are not an example of a module? a. M is a subring of a ring R b. R, any commutative ring, and I an ideal of R. R=F a field; M an F-vector space d. R = Z, the ring of integers; M, any abelian group C.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.4: Maximal Ideals (optional)

Problem 13E

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Question

Which of the following pairs R and M are not an example of a module?
a. M is a subring of a ring R
b. R, any commutative ring, and I an ideal of R.
R=F a field; M an F-vector space
d. R = Z, the ring of integers; M, any abelian group
C.

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