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
38
Embed
Atiq ur Rehman - MathCity.org · 2018. 3. 1. · Atiq Ur Rehman (mathcity.org) Subject: Rings: Handwritten notes Keywords: Rings, definition and related theorems Created Date: 12/19/2009
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
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
[1]
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