Question

Define Monoid and give example ​

Answer 1

an algebraic structure with a single associative binary operation and identity element." Examples are "0" as an additive identity and "1" as a multiplicative identity.

Answer 2

Answer:

In abstract algebra, a branch of mathematics, a monoid is a set equipped with an associative binary operation and an identity element. Monoids are semigroups with identity. Such algebraic structures occur in several branches of mathematics.

Step-by-step explanation:

If a semigroup {M, * } has an identity element with respect to the operation * , then {M, * } is called a monoid. For example, if N is the set of natural numbers, then {N,+} and {N,X} are monoids with the identity elements 0 and 1 respectively.  The semigroups {E,+} and {E,X} are not monoids.