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
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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
www.MathCity.org
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Rings: Handwritten notes
********************************************** Available online at http://www.MathCity.org
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www.MathCity.org
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Rings: Handwritten notes
**********************************************
Available online at http://www.MathCity.org **********************************************
www.MathCity.org
[8]
Rings: Handwritten notes
**********************************************
Available online at http://www.MathCity.org **********************************************
www.MathCity.org
[10]
Rings: Handwritten notes
**********************************************
Available online at http://www.MathCity.org **********************************************
www.MathCity.org
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Rings: Handwritten notes
**********************************************
Available online at http://www.MathCity.org
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Downlaod notes (Solutions), model papers, old papers, MCQs of FSc at
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Download notes, old papers, and e-books for MSc at
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If you have any question, ask it at
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www.MathCity.org
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Rings: Handwritten notes
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• Home à http://www.mathcity.org
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o BSc à http://www.mathcity.org/bsc
o MSc à http://www.mathcity.org/msc
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o Old papers à http://www.mathcity.org/papers
o E-Books à http://www.mathcity.org/e-books
www.MathCity.org
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Rings: Handwritten notes
**********************************************
Available online at http://www.MathCity.org
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