Lecture

Rings and Fields: Principal Ideals and Ring Homomorphisms

Description

This lecture covers the concepts of principal ideals, principal ideal domains, ring homomorphisms, subrings, characteristic of a ring, direct product of rings, commutative rings, zero divisors, integral domains, fields, ideals in a commutative ring, quotient rings, Chinese Remainder Theorem for integers, polynomial rings, Euclidean domains, maximal ideals in polynomial rings, irreducible polynomials, finite fields, and the construction and classification of finite fields.

Instructor

ut irure

Proident ipsum culpa ea magna in cillum. Laborum anim ullamco amet aute proident ullamco commodo nisi proident eu laboris aliquip do velit. Est consequat minim cupidatat consectetur enim ut magna enim ullamco magna officia pariatur nulla cillum. Excepteur duis sint reprehenderit magna consequat excepteur.

Official source

https://mediaspace.epfl.ch/media/0_gnvhlu1y

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Polynomials

Mathematical logic: Set theory

Logic

Classical logic: First-order logic

Related lectures (191)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.