The  set of integers $$Z$$ is w.r.t. addition (+) and multiplication(.)​

Correct option is A

Solution:
A ring is a set where:
You can add and multiply.
Addition is commutative (a + b = b + a), associative, has an identity (0), and every element has an additive inverse (like -a).
Multiplication is associative and distributes over addition.
It usually has a multiplicative identity (1).
Integers (Z) satisfy all these rules, so Z is a ring.

What is a Field?
A field is a special kind of ring where:
Every non-zero element has a multiplicative inverse.
(Example: in rational numbers, 2 has an inverse 1/2)
But in integers:
2 has no inverse in integers (1/2 is not an integer)
So Z is not a field.

Correct Answer: A
Z is a ring but not a field.