Question

Discrete Mathematics:- Which of the following algebraic structures form a ring?

 a.(Z,+,×)(Z,+,×)

b. (C,+,×)(C,+,×)

c. (Q,+,×)(Q,+,×)

d. (R,+,×)

(more than one option allowed)​

Answer 1

Answer:

Discrete Mathematics:- Which of the following algebraic structures form a field?

a. (Z,+,×)(Z,+,×)✔️✔️

b. (C,+,×)(C,+,×)

c. (Q,+,×)(Q,+,×)

d. (R,+,×)

Answer 2

Answer:

Explanation:

Given - The algebraic structures form a ring.

A set with two binary operations that have features similar to those of integer addition and multiplication. The ring is an algebraic structure that contains the non-empty set R (R, +,.) or (R, *,.). Multiplication and addition are two binary operations included. three components epsilon R a, b, and c the distributive law of the left The right distributive property (b + c) and a.(b+c) =a.b + a.c The formula a =b.a + c.a is valid.