Matches in SemOpenAlex for { <https://semopenalex.org/work/W2046453080> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2046453080 endingPage "140" @default.
- W2046453080 startingPage "129" @default.
- W2046453080 abstract "In this note-following the line of thought introduced into Galois theory by Emil Artin in (or before?) 1948-a complete proof of the basic structure theorem of that theory is established in altogether less than 50 lines of text (including formulae), using nothing but Dedekind′s lemma, one of its elementary and well-known consequences, and two of the most basic facts of G-set theory. In the remaining pages, the same direct approach is used to establish for a finite group G of automorphisms of a field L with fixed field K the canonical (anti-)equivalence of the category of finite-dimensional L-split K-algebras and the category of finite G-sets as well as the basic existence theorem of Galois theory, that is, the fact that the number of K-algebra automorphisms of a field extension L = K(α1,...,αn) with #(α1,...,αn) = n and ∏ni<=1(X−αi) ∈ K[X] equals the degree (L : K)= DimKL of this extension and is bounded from above by n!." @default.
- W2046453080 created "2016-06-24" @default.
- W2046453080 creator A5065732380 @default.
- W2046453080 date "1995-01-01" @default.
- W2046453080 modified "2023-09-28" @default.
- W2046453080 title "One More Shortcut to Galois Theory" @default.
- W2046453080 doi "https://doi.org/10.1006/aima.1995.1005" @default.
- W2046453080 hasPublicationYear "1995" @default.
- W2046453080 type Work @default.
- W2046453080 sameAs 2046453080 @default.
- W2046453080 citedByCount "8" @default.
- W2046453080 countsByYear W20464530802013 @default.
- W2046453080 countsByYear W20464530802015 @default.
- W2046453080 countsByYear W20464530802018 @default.
- W2046453080 crossrefType "journal-article" @default.
- W2046453080 hasAuthorship W2046453080A5065732380 @default.
- W2046453080 hasBestOaLocation W20464530801 @default.
- W2046453080 hasConcept C118615104 @default.
- W2046453080 hasConcept C118712358 @default.
- W2046453080 hasConcept C134306372 @default.
- W2046453080 hasConcept C145899342 @default.
- W2046453080 hasConcept C18903297 @default.
- W2046453080 hasConcept C202444582 @default.
- W2046453080 hasConcept C26204071 @default.
- W2046453080 hasConcept C2777759810 @default.
- W2046453080 hasConcept C33923547 @default.
- W2046453080 hasConcept C34388435 @default.
- W2046453080 hasConcept C35435516 @default.
- W2046453080 hasConcept C46757340 @default.
- W2046453080 hasConcept C57637645 @default.
- W2046453080 hasConcept C67536143 @default.
- W2046453080 hasConcept C86803240 @default.
- W2046453080 hasConcept C94398972 @default.
- W2046453080 hasConcept C9652623 @default.
- W2046453080 hasConceptScore W2046453080C118615104 @default.
- W2046453080 hasConceptScore W2046453080C118712358 @default.
- W2046453080 hasConceptScore W2046453080C134306372 @default.
- W2046453080 hasConceptScore W2046453080C145899342 @default.
- W2046453080 hasConceptScore W2046453080C18903297 @default.
- W2046453080 hasConceptScore W2046453080C202444582 @default.
- W2046453080 hasConceptScore W2046453080C26204071 @default.
- W2046453080 hasConceptScore W2046453080C2777759810 @default.
- W2046453080 hasConceptScore W2046453080C33923547 @default.
- W2046453080 hasConceptScore W2046453080C34388435 @default.
- W2046453080 hasConceptScore W2046453080C35435516 @default.
- W2046453080 hasConceptScore W2046453080C46757340 @default.
- W2046453080 hasConceptScore W2046453080C57637645 @default.
- W2046453080 hasConceptScore W2046453080C67536143 @default.
- W2046453080 hasConceptScore W2046453080C86803240 @default.
- W2046453080 hasConceptScore W2046453080C94398972 @default.
- W2046453080 hasConceptScore W2046453080C9652623 @default.
- W2046453080 hasIssue "1" @default.
- W2046453080 hasLocation W20464530801 @default.
- W2046453080 hasOpenAccess W2046453080 @default.
- W2046453080 hasPrimaryLocation W20464530801 @default.
- W2046453080 hasRelatedWork W1676715797 @default.
- W2046453080 hasRelatedWork W182521327 @default.
- W2046453080 hasRelatedWork W2046453080 @default.
- W2046453080 hasRelatedWork W2078989592 @default.
- W2046453080 hasRelatedWork W2319191324 @default.
- W2046453080 hasRelatedWork W2590190612 @default.
- W2046453080 hasRelatedWork W28732494 @default.
- W2046453080 hasRelatedWork W2957052640 @default.
- W2046453080 hasRelatedWork W92122087 @default.
- W2046453080 hasRelatedWork W2189024741 @default.
- W2046453080 hasVolume "110" @default.
- W2046453080 isParatext "false" @default.
- W2046453080 isRetracted "false" @default.
- W2046453080 magId "2046453080" @default.
- W2046453080 workType "article" @default.