Semi Group, Definition and Examples:-

Definition: A non empty set G having binary operation “*” (say) is called semi group in math if it satisfies the following two axioms:

  • Closure Property w.r.t “*
Semi Group

i.e, a\ast b\in G\;\;\;\;\;\;\;\forall\;a,b\in G

  • Associative Law w.r.t “*
(a\ast b)\ast c=a\ast(b\ast c)\;\;\;\;\;\;:\;\forall\;a,b,c\in G

Examples of Semi Group:

  • The set of W- {0,1} with respect to “Addition” and “Multiplication”.
  • The set of Natural Number with respect to “Addition”.
  • The set of O^+ with respect to “Addition”.
Spread the love
Azhar Ali

Azhar Ali

I graduated in Mathematics from the University of Sargodha, having master degree in Mathematics.

Leave a Reply

Your email address will not be published.

Mathematics is generally known as Math in US and Maths in the UK.

Contact Us

Copyright by Double Math. All Right Reserved 2019 to 2022