|
|
|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
place as extension of homomorphism
|
(Theorem)
|
|
|
Note. That $F$ should be algebraically closed, does not mean any restriction, since every field is extendable to such one.
- 1
- Emil Artin: Theory of Algebraic Numbers. Lecture notes. Mathematisches Institut, Göttingen (1959).
|
"place as extension of homomorphism" is owned by pahio.
|
|
(view preamble | get metadata)
Cross-references: algebraically closed, field, subring, ring homomorphism
There are 3 references to this entry.
This is version 6 of place as extension of homomorphism, born on 2005-01-19, modified 2005-03-17.
Object id is 6651, canonical name is PlaceAsExtensionOfHomomorphism.
Accessed 2394 times total.
Classification:
| AMS MSC: | 12E99 (Field theory and polynomials :: General field theory :: Miscellaneous) | | | 13A18 (Commutative rings and algebras :: General commutative ring theory :: Valuations and their generalizations) | | | 13F30 (Commutative rings and algebras :: Arithmetic rings and other special rings :: Valuation rings) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
