Question

3. The monoid is a?
​

Answer 1

Answer:

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.

Step-by-step explanation:

hope you appreciate this ans

Answer 2

Answer:

${\tt{\red{\underline{\underline{\huge{Answer:}}}}}}$

• ☘Monoids are semigroups with identity. Such algebraic structures occur in several branches of mathematics.

• ☘For example, the functions from a set into itself form a monoid with respect to function composition. More generally, in category theory, the morphisms of an object to itself form a monoid, and, conversely, a monoid may be viewed as a category with a single object.