# Category:Properties of commutative unital rings

From Commalg

*This is a monster category, that is, it has a lot of members. Please use the subcategory structure of this category or other tools (Such as lookup and exploration guideline pages) to explore the category more effectively*

This is a category of properties for the following kind of objects: commutative unital rings. In other words, this category lists commutative unital ring propertiesAll articles in subcategories of this category are also directly included in this category

View a complete list of property categories

This category lists properties that can be evaluated for a commutative unital ring.

For those properties which make sense for integral domains, refer:

Category:Properties of integral domains

## Subcategories

This category has the following 7 subcategories, out of 7 total.

### P

## Pages in category "Properties of commutative unital rings"

The following 72 pages are in this category, out of 72 total.

### E

### F

### I

### L

### N

### R

- Reduced ring
- Regular local ring
- Regular ring
- Ring of integers in a number field
- Ring over which every monic polynomial has finitely many roots
- Ring over which every nonzero polynomial has finitely many roots
- Ring over which nonzero polynomials define nonzero functions
- Ring satisfying ACCP
- Ring satisfying PIT
- Ring where every prime contains a minimal prime
- Ring where every prime contains a minimal prime and having finitely many minimal primes
- Ring with equal Krull dimension and global dimension