Art of Problem Solving

Math texts, online classes, and more
for students in grades 5-12.

Visit AoPS Online ‚

Books for Grades 5-12 Online Courses

Engaging math books and online learning
for students ages 8-13.

Visit Beast Academy ‚

Books for Ages 8-13 Beast Academy Online

Nationwide learning centers
for students in grades 2-12.

Visit AoPS Academy ‚

Find a Physical Campus Visit the Virtual Campus

Sign In

How Classes Work Course Catalog Class Schedule Recommendations WOOT Courses School Handbook Math Jams

AoPS Curriculum Beast Academy Online Books Recommendations Other Books & Gear All Products Gift Certificates

Forums Contests Search Help

math training & tools Alcumus Videos For the Win! MATHCOUNTS Trainer LaTeX TeXeR MIT PRIMES/CrowdMath Keep Learning

news & information AoPS News AoPS Wiki

contests on aops AMC MATHCOUNTS Other Contests

emergency homeschool Curriculum Recs Podcast

just for fun Reaper Greed Control

view all 0

Resources Aops Wiki Category:Ring theory

Page

CategoryDiscussionView sourceHistory

Toolbox

Recent changesRandom pageHelpWhat links hereSpecial pages

Search

Category:Ring theory

This is a collection of all articles dealing with Ring theory

Pages in category "Ring theory"

The following 41 pages are in this category, out of 41 total.

A

Artinian
Ascending chain condition

B

Bezout's Lemma

C

Commutative ring
Commutator (ring)
Cyclic module

D

Dedekind domain
Domain (Ring theory)

E

Euclidean domain

F

Field of fractions
Fractional ideal

G

Gauss's Lemma (polynomial)

H

Hilbert's Basis Theorem

I

Ideal
Integral closure
Integral domain
Irreducible element

K

Krull's Theorem

M

Maximal ideal
Module

N

Noetherian

O

Omega ring

P

Polynomial ring
Prime element
Prime ideal
Principal ideal domain
Pseudo-ring

Q

Quotient ring

R

Regular module
Ring
Ring of integers
Ring theory

S

Semisimple module
Simple module
Skew field
Subring

U

Unique factorization domain
Unit (ring theory)

Z

Zero divisor
Zero module
Zero ring

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Category:Ring_theory&oldid=18881"

Abstract algebra

Art of Problem Solving is an
ACS WASC Accredited School

aops programs

AoPS Online Beast Academy AoPS Academy

About

Our Team Our History Jobs

Site Info

Terms Privacy Contact Us

follow us

Subscribe for news and updates

© 2023 AoPS Incorporated

© 2023 Art of Problem Solving

About Us • Contact Us • Terms • Privacy

Invalid username

Login to AoPS

Username:

Password:

Stay logged in

Create a new account

Lost your activation email?

Forgot your password or username?

Copyright © 2023 Art of Problem Solving