Answer to Question #47334 in Abstract Algebra for ayush kumar

Question

1 (i) Let R be a commutative ring with unity and I, J be ideals of R such that I + J - R. Then show
t h a t l intersection J = l J .

(ii) Give an example of a commutative ring R with ideal I and J such that I n J not equal to lJ. Justily your choice of example.


2. (a) Find all the subgroups of the group Z10. Also give the generators of each them.