Category:Ring Isomorphisms

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This category contains results about Ring Isomorphisms.
Definitions specific to this category can be found in Definitions/Ring Isomorphisms.

Let $\struct {R, +, \circ}$ and $\struct {S, \oplus, *}$ be rings.

Let $\phi: R \to S$ be a (ring) homomorphism.

Then $\phi$ is a ring isomorphism if and only if $\phi$ is a bijection.

Subcategories

This category has the following 5 subcategories, out of 5 total.

F

Field Isomorphisms‎ (1 C, 4 P)
First Ring Isomorphism Theorem‎ (4 P)

R

Ring Automorphisms‎ (1 C, 3 P)

S

Second Ring Isomorphism Theorem‎ (4 P)

T

Third Ring Isomorphism Theorem‎ (4 P)

Pages in category "Ring Isomorphisms"

The following 11 pages are in this category, out of 11 total.

C

F

I

Isomorphism between Ring of Integers Modulo 2 and Parity Ring

Q

Quotient Ring of Kernel of Ring Epimorphism

R

S

T

Third Isomorphism Theorem/Rings

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