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Factorization in Integral Domains by Fatima Sadik is a document available to read on EtoBox.
What is Factorization in Integral Domains about?
This document provides definitions and theorems related to algebraic structures in abstract algebra, specifically integral domains, unique factorization domains (UFDs), and principal ideal domains (PIDs). It defines key concepts such as associates, irreducibles, factorization, and divisibility. It proves that if a ring is a PID, then it is both a UFD and Noetherian, and that any Noetherian integral domain allows finite factorization into irreducibles.
- Author
- Fatima Sadik
- Language
- EN