Category:Definitions/Fields of Quotients
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This category contains definitions related to Fields of Quotients.
Related results can be found in Category: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
- $(3): \quad \forall z \in F: \exists x \in D, y \in D_{\ne 0}: z = \dfrac {\map \iota x} {\map \iota y}$
Subcategories
This category has only the following subcategory.
R
Pages in category "Definitions/Fields of Quotients"
The following 9 pages are in this category, out of 9 total.
F
- Definition:Field of Fractions
- Definition:Field of Quotients
- Definition:Field of Quotients/Also known as
- Definition:Field of Quotients/Definition 1
- Definition:Field of Quotients/Definition 2
- Definition:Field of Quotients/Definition 3
- Definition:Field of Quotients/Definition 4
- Definition:Fraction Field