Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field

Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field

The ring of integers is a very interesting ring, it has the amazing property that each of its elements may be expressed uniquely, up to order, as a product of prime elements. Unfortunately, not every ring possesses this property for its elements. The work of mathematicians like Kummer and Dedekind l...

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Bibliographic Details
Main Author: Rezola, Nolberto
Format: Others
Published: CSUSB ScholarWorks 2015
Subjects:
imaginary quadratic number field
unique prime ideal factorization
Dedekind domain
Algebraic integers
Rings
Fields
Ideals
Integral over
R-modules
finitely generated set
UFD
PID.
Algebra
Number Theory
Other Mathematics
Online Access:https://scholarworks.lib.csusb.edu/etd/205
https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1223&context=etd

Internet

https://scholarworks.lib.csusb.edu/etd/205
https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1223&context=etd

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