Question

write short notes on identity element and inverse elements in Maths

don't copy and paste ​

Answer 1

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Answer 2

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identity element:

an identity element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them. This concept is used in algebraic structures such as groups and rings. It is also called as neutral element.

inverse elements:

If is an identity element of (i.e., S is a unital magma) and , then is called a left inverse of and is called a right inverse of . If an element is both a left inverse and a right inverse of , then is called a two-sided inverse, or simply an inverse, of . An element with a two-sided inverse in is called invertible in .

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