Category:Commutative unital ring property implications

This category lists important implications between properties over the context space: commutative unital ring. That is, it says that every commutative unital ring satisfying the first commutative unital ring property also satisfies the second.

This is a category (or supercategory) listing a broad class of facts/results/theorems

Pages in category "Commutative unital ring property implications"

The following 18 pages are in this category, out of 18 total.

E

I

Intersection of prime equals radical

K

Krull's principal ideal theorem

M

Multi-stage Euclidean implies Bezout

O

One-dimensional Noetherian domain implies Cohen-Macaulay

P

R

Regular local ring implies integral domain

S

Semisimple implies zero-dimensional

U

Z

Zero-dimensional Noetherian implies Cohen-Macaulay

Pages in category "Commutative unital ring property implications"

A

B

C

E

I

K

M

O

P

R

S

U

Z