Category:Integral Domains

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This category contains results about Integral Domains.
Definitions specific to this category can be found in Definitions/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 (from the Cancellation Law of Ring Product of Integral Domain) in which all non-zero elements are cancellable.

Subcategories

This category has the following 20 subcategories, out of 20 total.

A

D

F

G

I

O

P

Q

V

Pages in category "Integral Domains"

The following 63 pages are in this category, out of 63 total.