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.

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