# Category:Fields of Quotients

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This category contains results about Fields of Quotients.

Definitions specific to this category can be found in Definitions/Fields of Quotients.

A **field of quotients** of $D$ is a pair $\struct {F, \iota}$ where:

- $(1): \quad$ $F$ is a field
- $(2): \quad$ $\iota : D \to F$ is a ring monomorphism
- $(3): \quad \forall z \in F: \exists x \in D, y \in D_{\ne 0}: z = \dfrac {\map \iota x} {\map \iota y}$

## Pages in category "Fields of Quotients"

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