# Rings & Modules by Ms. Iqra Liaqat

These notes are send by Ms. [[:people: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

<grid>

- 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

</col> </grid>

### Download

### Notes of other subjects

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- Last modified: 8 months ago
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