Dear readers,

Below are some links that may provide motivation to study “Abstract Algebra”.

.

Why do we need to study abstract algebra?

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# Category: Abstract Algebra

## Epsilon-motivation for studying “Abstract Algebra”

## Proof: Natural Number Addition and Multiplication is Closed.

## Proof: Natural Number Addition and Multiplication is Associative.

## Proof: Natural Number Multiplication is Associative.

## Proof: Natural Number Addition is Associative.

## Every Boolean ring is commutative.

## Characteristic of a ring and some of its basic properties

## Proof: characteristic of an integral domain is 0 or prime.

Its all about pure mathematics.

Dear readers,

Below are some links that may provide motivation to study “Abstract Algebra”.

.

Why do we need to study abstract algebra?

The proof is given using successor function S defined in the Peano axioms. The proof of these two facts are given in 2.1 and 2.2 for the addition and multiplication case respectively in the link below….

For the proof for addition case click below…..

http://www.proofwiki.org/wiki/Natural_Number_Addition_is_Commutative

For the proof for addition case click below……..

http://www.proofwiki.org/wiki/Natural_Number_Multiplication_is_Commutative

For the proof click on the link below….

http://www.proofwiki.org/wiki/Natural_Number_Multiplication_is_Associative/Proof_2

For the proof click on the link below….

http://www.proofwiki.org/wiki/Natural_Number_Addition_is_Associative/Proof_2

To see the proof

In the link below find the definition and basic properties of characteristic of a ring.

In the link below it is given a very nice proof the fact that: The characteristic of an integral domain is 0 or prime.

For proof