question archive Let R be the set of rationals, Q, with the following operations: a⊕b := a+b−1; a⊗b := ab−a−b+2
Let R be the set of rationals, Q, with the following operations: a⊕b := a+b−1; a⊗b := ab−a−b+2
Subject:MathPrice:3.86 Bought8
Let R be the set of rationals, Q, with the following operations:
a⊕b := a+b−1;
a⊗b := ab−a−b+2.
for all a,b ∈ Q.
(a) Prove that R = (Q,⊕,⊗) is a ring.
(b) Is R a commutative ring?
(c) Does R have an identity?
(d) Is R an integral domain?
(e) Is R a division ring?
(f) Describe the ideals of R?
