Algebraic Field Extensions

Algebra II ◽  
2017 ◽  
pp. 295-314
Author(s):  
Alexey L. Gorodentsev
Keyword(s):  
Algebraic Field ◽  
Field Extensions

scholarly journals Jónssonω0-generated algebraic field extensions

1987 ◽  
Vol 128 (1) ◽  
pp. 81-116 ◽  
Author(s):  
Robert Gilmer ◽  
William Heinzer
Keyword(s):  
Algebraic Field ◽  
Field Extensions

Fuzzy algebraic field extensions

1992 ◽  
Vol 45 (3) ◽  
pp. 359-365 ◽  
Author(s):  
John N. Mordeson
Keyword(s):  
Algebraic Field ◽  
Field Extensions

scholarly journals Valuations in algebraic field extensions

2007 ◽  
Vol 312 (2) ◽  
pp. 1033-1074 ◽  
Author(s):  
F.J. Herrera Govantes ◽  
M.A. Olalla Acosta ◽  
M. Spivakovsky
Keyword(s):  
Algebraic Field ◽  
Field Extensions

scholarly journals Reverse Mathematics and Algebraic Field Extensions

Computability ◽  
2013 ◽  
Vol 2 (2) ◽  
pp. 75-92 ◽  
Author(s):  
François G. Dorais ◽  
Jeffry Hirst ◽  
Paul Shafer
Keyword(s):  
Reverse Mathematics ◽  
Algebraic Field ◽  
Field Extensions

scholarly journals Full-Diversity Dispersion Matrices From Algebraic Field Extensions for Differential Spatial Modulation

2017 ◽  
Vol 66 (1) ◽  
pp. 385-394 ◽  
Author(s):  
Rakshith Rajashekar ◽  
Naoki Ishikawa ◽  
Shinya Sugiura ◽  
K.V.S. Hari ◽  
Lajos Hanzo
Keyword(s):  
Spatial Modulation ◽  
Algebraic Field ◽  
Field Extensions ◽  
Full Diversity

scholarly journals Universally Incomparable Ring-Homomorphisms

1984 ◽  
Vol 29 (3) ◽  
pp. 289-302 ◽  
Author(s):  
David E. Dobbs ◽  
Marco Fontana
Keyword(s):  
Prime Ideal ◽  
Special Kind ◽  
Commutative Rings ◽  
Base Change ◽  
Primitive Elements ◽  
Algebraic Field ◽  
One Dimensional ◽  
Ring Homomorphisms ◽  
Field Extensions ◽  
Noetherian Domain

A homomorphism f: R → T of (commutative) rings is said to be universally incomparable in case each base change R → S induces an incomparable map S → S⊗RT. The most natural examples of universally incomparable homomorphisms are the integral maps and radiciel maps. It is proved that a homomorphism f: R → T is universally incomparable if and only if f is an incomparable map which induces algebraic field extensions of fibres, k(f-1(Q))→k(Q), for each prime ideal Q of T. In several cases (f algebra-finite, T generated as R-algebra by primitive elements, T an overring of a one-dimensional Noetherian domain R), each universally incomparable map is shown to factor as a composite of an integral map and a special kind of radiciel.

Field Extensions and Galois Theory

1984 ◽  
Author(s):  
Julio R. Bastida ◽  
Roger Lyndon
Keyword(s):  
Galois Theory ◽  
Field Extensions
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