Rings & Modules by Ms. Iqra Liaqat
These notes are send by Ms. Iqra Liaqat. We are really very thankful to her for providing these notes and appreciates her effort to publish these notes on MathCity.org
Name | Rings & Modules |
---|---|
Author | Ms. Iqra Liaqat |
Pages | 140 pages |
Format | PDF (see Software section for PDF Reader) |
Size | 5.88 mB |
Contents & Summary
- Groupoid
- Semi group
- Group
- Subgroup
- Ring
- Field
- Vector space
- Module
- Unital R module
- Module homomorphism
- Monomorphism
- Epimorphism
- Isomorphism
- Kernal of homomorphism
- Range of T
- Ring homomorphism
- Quotient Module
- First theorem of homomorphism
- Second isomorphism theorem
- Fundamental theorem of homomorphism
- Internal direct sum
- External direct sum
- Finitely generated module
- Cyclic module
- Torsion free module
- Torsion element
- Freely generated module
- Linearly independent & dependent set
- Polynomial ring
- Degree of polynomial
- Constant polynomial
- Remainder theorem
- Zeros of the polynomial
- Roots of the equation
- Factor theorem
- Existence theorem
- Gaussian integer and ring of Gaussian integer
- Prime
- Irreducible element
- Irreducible polynomial over field
- Monic polynomial
- Unique factorization domain (U.F.O)
- Principle ideal
- Principle ideal domain
- Euclidean domain
- Factorization domain
Download
Notes of other subjects
- Advance Analysis by Ms. Iqra Liaqat
- Advanced Analysis: Handwritten Notes
- Algebra II by Syed Sheraz Asghar
- Complex Analysis (Easy Notes of Complex Analysis)
- Complex Analysis (Notes) by Ms. Iqra Liaqat
- Complex Analysis (Quick Review)
- Complex Analysis by M Usman Hamid
- Differential Geometry (Notes) by Ms. Kaushef Salamat
- Differential Geometry by M Usman Hamid
- Differential Geometry by Syed Hassan Waqas
- Differential Geometry: Handwritten Notes
- Fluid Mechanics I by Dr Rao Muzamal Hussain
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- Functional Analysis by Mr. Tahir Hussain Jaffery
- Functional Analysis by Prof Mumtaz Ahmad
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- Fuzzy Sets Theory by Umar Saeed Bunarai
- General Topology by Raheel Ahmad
- Group Theory by Mr. Muhammad Iftikhar
- Group Theory: Important Definitions and Results
- Groups (Handwritten notes)
- Handwritten Notes of Real Analysis by Asim Marwat
- Linear Algebra: Important Definitions and Results
- Mathematical Method by Khalid Latif Mir (Solutions)
- Mathematical Method by Sir Muhammad Awais Aun
- Mathematical Statistics by Ms. Iqra Liaqat
- Mathematical Statistics I by Muzammil Tanveer
- Mathematical Statistics II by Sir Haidar Ali
- Measure Theory by M Usman Hamid & Saima Akram
- Measure Theory Notes by Anwar Khan
- Mechanics (Easy Notes of Mechanics)
- Mechanics by Sir Nouman Siddique
- Mechanics I (Statics) by Dr Babar Ahmad
- Method of Mathematical Physics by Mr. Muhammad Usman Hamid
- Metric Spaces (Notes)
- Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
- Number Theory by Dr Muhammad Umer Shuaib
- Number Theory: Handwritten Notes
- Number Theory: Notes by Anwar Khan
- Numerical Analysis by M Usman Hamid
- Numerical Analysis II
- Operation Research by Sir Haidar Ali
- Operation Research: Handwritten Notes
- Partial Differential Equations
- Partial Differential Equations by M Usman Hamid
- Real Analysis (Notes by Prof. Syed Gul Shah)
- Ring (Notes) by Prof. M. Dabeer Mughal
- Rings & Modules by Ms. Iqra Liaqat
- Rings (Handwritten notes)
- Special Functions by Dr. Muhey-U-Din
- Theoretical Mechanics by Khalid Latif Mir (Solutions)
- Theory of Optimization by Ma'am Iqra Razzaq
- Theory of Relativity & Analytic Dynamics: Handwritten Notes
- Topology and Functional Analysis Solved Paper by Noman Khalid
- Topology Notes by Azhar Hussain
- Topology: Handwritten Notes
- Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)
- Vector Space (Review) by Rashad Wattu
- Vector Spaces (Handwritten notes)