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Lec2 Algebra 2nd M.Sc Mathematics punjab university in particular and other universities in General
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Factorization Theory in integral Domain
# Definition of PIR i.e. principal ideal ring
# Definition of PID i.e. Principal ideal Domain
#Types of Ideal
# Z, set of integer is PID
* Result which are used: Division Algorithm
# Field is PID
* Results
# If 1 belongs to ideal I ofa ring R then I=R
# Field has generator 1 i.e. F= <1>
And
# If be an ideal I of Field F then for every element of has unit elements in F therefore for a €I there exists b€F such that ab=1
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