Question

A monoid becomes a group if it also satisfies the
(A)dosure axiom
(B) inverse axiom
(C) asso​

Answer 1

option c is correct✅✅.....

Answer 2

The correct answer is option (A) dosure axiom.

Explanation:

• A monoid becomes a group if it also satisfies the dosure axiom.
• 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.
• A monoid must contain at least one element.
• The name "monoid" was first used in mathematics by Arthur Cayley [*] for a surface of order n which has a multiple point of order n−1. It is also worth commenting on the related term monoid, meaning an associative magma with identity