rings: handwritten notes

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Rings: Handwritten notes by Atiq ur Rehman http://www.MathCity.org/atiq Partial Contents 1. Rings; definition and examples 1 2. Commutative ring, ring with unity, boolean’s ring, division ring 4 3. Zero divisor and examples, integral domain and related theorems 5 4. Field, examples and related theorems 8 5. Characteristic of ring, examples and related theorems 11 6. Regular ring, examples and related theorems 16 7. Ideals, and related theorem 23 8. Quotient ring 25 9. Homomorphism of a ring, kernel of homomorphism and related theorems 26 10. Principal ideal, principal ideal ring 31 11. Maximal ideal and related theorem 32 12. Fundamental homomorphism theorem 36 Available at http://www.MathCity.org/msc If you have any question, ask at http://forum.mathcity.org MathCity.org is a non-profit organization, working to promote mathematics in Pakistan. If you have anything (notes, model paper, old paper etc.) to share with other peoples, you can send us to publish on MathCity.org. You may earn money by participating. For more information visit: http://www.MathCity.org/participate a

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Page 1: Rings: Handwritten Notes

Rings: Handwritten notes

by

Atiq ur Rehman

http://www.MathCity.org/atiq

Partial Contents

1. Rings; definition and examples 1

2. Commutative ring, ring with unity, boolean’s ring, division ring 4

3. Zero divisor and examples, integral domain and related theorems 5

4. Field, examples and related theorems 8

5. Characteristic of ring, examples and related theorems 11

6. Regular ring, examples and related theorems 16

7. Ideals, and related theorem 23

8. Quotient ring 25

9. Homomorphism of a ring, kernel of homomorphism and related theorems 26

10. Principal ideal, principal ideal ring 31

11. Maximal ideal and related theorem 32

12. Fundamental homomorphism theorem 36

Available at http://www.MathCity.org/msc

If you have any question, ask at http://forum.mathcity.org

MathCity.org is a non-profit organization, working to promote mathematics in Pakistan. If

you have anything (notes, model paper, old paper etc.) to share with other peoples, you

can send us to publish on MathCity.org. You may earn money by participating. For more

information visit: http://www.MathCity.org/participate

a

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MathCity.org Merging man and maths

Rings (Handwritten notes) Written by: Atiq ur Rehman, Class: BS or MSc (Maths) Available online at http://www.MathCity.org , Version: 1.0.0

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********************************************** Available online at http://www.MathCity.org

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Available online at http://www.MathCity.org **********************************************

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Available online at http://www.MathCity.org

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Downlaod notes (Solutions), model papers, old papers, MCQs of FSc at

http://www.mathcity.org/fsc

Download paper pattern, old papers, notes, formula pages for BSc at

http://www.mathcity.org/bsc

Download notes, old papers, and e-books for MSc at

http://www.mathcity.org/msc

If you have any question, ask it at

http://forum.mathcity.org

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• Home à http://www.mathcity.org

o FSc à http://www.mathcity.org/fsc

o BSc à http://www.mathcity.org/bsc

o MSc à http://www.mathcity.org/msc

o MPhil/PhD à http://www.mathcity.org/mphil-phd

o Old papers à http://www.mathcity.org/papers

o E-Books à http://www.mathcity.org/e-books

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Available online at http://www.MathCity.org

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