About this document
Maximal Ideals in Commutative Rings by nkolanchi761 is a document available to read on EtoBox.
This document discusses maximal ideals in commutative rings with unity, defining them and establishing their properties, including that the quotient of a ring by a maximal ideal is a field. It also presents theorems and examples illustrating the existence of maximal ideals and conditions under which a ring is a local ring. Key results include that every commutative ring has a maximal ideal and characterizations of when certain rings, like Zn, are local rings.
- Author
- nkolanchi761
- Language
- EN