Briefly define a group.
Briefly define a ring.
Briefly define a field.
A non-empty set S is said to form a group under a binary operation (*) if it satisfies the following properties-
(1) S is closed with respect to (*) [Closure property]
(2) (*) is associative on S [Associative property]
(3) S has an identity element under (*) [Identity ...
Neat definitions with examples are provided.