Answer to Question #47330 in Abstract Algebra for ayush kumar

Question

1 a) Prove that a ring with characteristic zero contains a subring isomorphic to Z.

b) Give an example, with justification, of a ring R which is not a domain, but for which every

deal is principal.

c) Give an example, with justification, of a UFD whose quotient field is C.

2 a) Use the Fundamental Theorem of Homomorphism to prove that Z5/Z2 ~Z3.