YU Lan-mei
Abstract
A necessary and sufficient condition is proved that two extension fields are φ-isomorphic.How to count the φ-isomorphisms and related proofs are also presented.Examples to show methods of classifying whether two extension fields are φ-isomorphic and representation of such isomorphism are presented.
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A necessary and sufficient condition is proved that two extension fields are φ-isomorphic.How to count the φ-isomorphisms and related proofs are also presented.Examples to show methods of classifying whether two extension fields are φ-isomorphic and representation of such isomorphism are presented.
Key concepts: Isomorphism extension theorem, Isomorphism (crystallography), Extension (predicate logic), Mathematics, Mathematical proof, Representation (politics), Pure mathematics, Algebra over a field