Learn the definition of a group – one of the most fundamental ideas from abstract algebra.

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Educators dan Researcher in UTM

Learn the definition of a group – one of the most fundamental ideas from abstract algebra.

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Filed Under: Teaching

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there are 4 basic operation: addition, subtraction, multiplication and division

definition of group:

set of elements

operation: * (binary operation)

closed under *

inverses: for all a element of G, there exist a unit of a^(-1) element of G such that a^(-1) * a= e = a * a^(-1)

identity,e: there exist a unit of e such that e*a=a*e for all a element of G

Associative: (a*b)*c=a*(b*c) for all a,b,c are elements of G

We understand all 4 basic operation

nice explaination