Library
▹
Category theory
▹
Concrete categories
Definition 4.9.13.
Let
u
∈
ℕ
. We define:
Fld
u
:
=
[
Fld
(Hom(
A
,
B
))
A
,
B
∈
Fld
(id
C
)
C
∈
Fld
(∘)
D
,
E
,
F
∈
Fld
]
u
is a/an
u
-small category
Remarks.
The objects of this category are actually isomorphism classes of fields.
References.
https://en.wikipedia.org/wiki/Category_of_rings#Category_of_fields
https://ncatlab.org/nlab/show/field#category