Question

What is monoid and example? And give atleast 2 example of monoid

Answer 1

Answer:

Monoid. A monoid is a set that is closed under an associative binary operation and has an identity element such that for all , . Note that unlike a group, its elements need not have inverses. It can also be thought of as a semigroup with an identity element.

Step-by-step explanation:

Answer 2

Answer:

In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element. Monoids are studied in semigroup theory, because they are semigroups with identity.

Step-by-step explanation:

Examples

For example, positive integers with multiplication has 1 as an identity element, making it a monoid. Non-negative integers with addition is also a monoid, with 0 as the identity element.