Rings & Modules by Ms. Iqra Liaqat

Ring & 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
  • 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

  • msc/notes/rings-and-modules-iqra-liaqat
  • Last modified: 7 weeks ago
  • by Dr. Atiq ur Rehman