Tuesday, March 13, 2018

An algebraic structure




What is operation in mathematics languages?
An operation is like a function which when act on an element of a set changes its value or some thing like because to operate means to change, right !
Now, what is binary operation ?
Binary means which involves two.
So it is clear from the name that this operation involves two elements of a set.
I think you can now digest the below definition.
Binary operation is a function that assigns to each ordered pairs of elements of set, an element of that set .
Notation - *
operation between a and b is denoted by a*b, where a and b are elements of set.
Here ordered pairs talks about two elements of set, as you know pairs means two elements together but why there is “ ordered “ here.
Ordered pairs and not just pairs because here order matters, because a*b is different from b*a , it can be equal but not generally.


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