Rings: Handwritten Notes

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Mathematics, Algebra, Rings

Transcript of Rings: Handwritten Notes

Rings: Handwritten notes by Atiq ur Rehman http://www.MathCity.org/atiq Partial Contents1. Rings; denition and examples 1 2. Commutative ring, ring with unity, booleans 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-prot 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

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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 **********************************************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 http://www.mathcity.org o o o o o o FSc http://www.mathcity.org/fsc BSc http://www.mathcity.org/bsc MSc http://www.mathcity.org/msc MPhil/PhD http://www.mathcity.org/mphil-phd Old papers http://www.mathcity.org/papers E-Books http://www.mathcity.org/e-books

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