Category:Definitions/Integral Domains
Jump to navigation
Jump to search
This category contains definitions related to Integral Domains.
Related results can be found in Category:Integral Domains.
An integral domain $\struct {D, +, \circ}$ is:
- a commutative ring which is non-null
- with a unity
- in which there are no (proper) zero divisors, that is:
- $\forall x, y \in D: x \circ y = 0_D \implies x = 0_D \text{ or } y = 0_D$
that is, in which all non-zero elements are cancellable.
Subcategories
This category has the following 15 subcategories, out of 15 total.
A
- Definitions/Associates (9 P)
C
- Definitions/Common Divisors (9 P)
D
E
F
G
- Definitions/GCD Domains (3 P)
I
L
O
P
Pages in category "Definitions/Integral Domains"
The following 34 pages are in this category, out of 34 total.