Ring (Notes) 

A written notes of Ring ( Abstract Algebra) by Professor. M. Dabeer Mughal (Federal Directorate of Education, Islamabad, PAKISTAN). Best to prepare a “Rings & Vector Spaces” section of Pure mathematics paper in MSC (Mathematics).


NameRing (Notes) - Handwritten
AuthorProf. M. Dabeer Mughal
Pages64 pages
FormatPDF 
SizePDF: 4.95 MB

CONTENTS OR SUMMARY:

  • Rings, commutative ring, ring with unity (identity), examples
  • Consequences from the definition
  • Unit element of ring
  • Division ring or skew field, field, zero divisor
  • Integral domain
  • Characteristic of ring, Boolean ring
  • Sub-ring and related theorem
  • Centre of ring and related theorem
  • Ring homomorphism
  • Isomorphism, kernel of ϕ and related theorems
  • Ideal, left ideal
  • Right ideal, two sided ideal, examples and theorems
  • Principal ideal, principal ideal ring and related theorem
  • Quotient ring and related theorem
  • 1st fundamental theorem
  • Maximal ideal and related theorem
  • Prime ideal and related theorem
  • The field of quotients of an integral domain
  • Prime field
  • PDF File: Ring_Notes ~ 4.91 MB
    • DWN Link 1: Direct Link
    • DWN Link 2: mediafire.com
  • Book : Abstract Algebra ~ 8.8 MB
    • DWN Link 1: Direct Link
    • DWN Link 2: mediafire.com
  • To view online at Scribd [Click Here]
  • To view online [Click Here]
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