Abalian Group

Abelian Group

==2024-12-03

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Theory

Abelian Group is a Mathematical Group (A, *) where A is the set of the group and * is the Mathematical Operations that satisfies following properties for $a,b\in A$:

1. The operation is commutative. i.e $a\ast b=b\ast a$
2. The operation is associative. i.e $(a+b)+c=a+(b+c)$
3. $\exists$ an element $c\in A$: $a\ast c=d$, $d\in A$ being an identity, Existence of inverse i.e c.
4. $\exists$ an element d such that $a\ast d=d\ast a=a$.

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Examples

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Implementation

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Q&A

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