Matches in SemOpenAlex for { <https://semopenalex.org/work/W2888897281> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2888897281 abstract "Let f(x) be a formal power series with coefficients in the field k and let n ? 1. We define the notion of n-transcendence of f(x) over k and, more generally, the stable transcendence function dk(f(x), n). It is shown that, if k has prime characteristic p, this function determines the minimal Krull dimension dk(G) of the universal modular Galois-algebras of an elementary Abelian p-group G, introduced in [2, 3, 4, 5]. Since the concept of n-transcendence is of independent interest in all characteristics, a number of fundamental theorems are proved where the generalized Artin-Schreier polynomials surprisingly play a central role. We make a plausible conjecture in the case when k = Fp, the truth of which would imply a conjectural result concerning dFp (G) previously investigated by the authors." @default.
- W2888897281 created "2018-09-07" @default.
- W2888897281 creator A5014101727 @default.
- W2888897281 creator A5027998055 @default.
- W2888897281 date "2018-08-28" @default.
- W2888897281 modified "2023-10-18" @default.
- W2888897281 title "Stable transcendence for formal power series, generalized Artin-Schreier polynomials and a conjecture concerning p-groups" @default.
- W2888897281 cites W1981087865 @default.
- W2888897281 cites W1992332126 @default.
- W2888897281 cites W1992763392 @default.
- W2888897281 cites W2025008395 @default.
- W2888897281 cites W2032814901 @default.
- W2888897281 cites W2041058126 @default.
- W2888897281 cites W2085742442 @default.
- W2888897281 cites W2605151023 @default.
- W2888897281 cites W4254491055 @default.
- W2888897281 doi "https://doi.org/10.1112/blms.12197" @default.
- W2888897281 hasPublicationYear "2018" @default.
- W2888897281 type Work @default.
- W2888897281 sameAs 2888897281 @default.
- W2888897281 citedByCount "0" @default.
- W2888897281 crossrefType "journal-article" @default.
- W2888897281 hasAuthorship W2888897281A5014101727 @default.
- W2888897281 hasAuthorship W2888897281A5027998055 @default.
- W2888897281 hasBestOaLocation W28888972812 @default.
- W2888897281 hasConcept C111472728 @default.
- W2888897281 hasConcept C114614502 @default.
- W2888897281 hasConcept C118615104 @default.
- W2888897281 hasConcept C134306372 @default.
- W2888897281 hasConcept C136119220 @default.
- W2888897281 hasConcept C136170076 @default.
- W2888897281 hasConcept C138885662 @default.
- W2888897281 hasConcept C151746172 @default.
- W2888897281 hasConcept C202444582 @default.
- W2888897281 hasConcept C22602557 @default.
- W2888897281 hasConcept C2779057376 @default.
- W2888897281 hasConcept C2779361349 @default.
- W2888897281 hasConcept C2780990831 @default.
- W2888897281 hasConcept C33676613 @default.
- W2888897281 hasConcept C33923547 @default.
- W2888897281 hasConcept C73905626 @default.
- W2888897281 hasConceptScore W2888897281C111472728 @default.
- W2888897281 hasConceptScore W2888897281C114614502 @default.
- W2888897281 hasConceptScore W2888897281C118615104 @default.
- W2888897281 hasConceptScore W2888897281C134306372 @default.
- W2888897281 hasConceptScore W2888897281C136119220 @default.
- W2888897281 hasConceptScore W2888897281C136170076 @default.
- W2888897281 hasConceptScore W2888897281C138885662 @default.
- W2888897281 hasConceptScore W2888897281C151746172 @default.
- W2888897281 hasConceptScore W2888897281C202444582 @default.
- W2888897281 hasConceptScore W2888897281C22602557 @default.
- W2888897281 hasConceptScore W2888897281C2779057376 @default.
- W2888897281 hasConceptScore W2888897281C2779361349 @default.
- W2888897281 hasConceptScore W2888897281C2780990831 @default.
- W2888897281 hasConceptScore W2888897281C33676613 @default.
- W2888897281 hasConceptScore W2888897281C33923547 @default.
- W2888897281 hasConceptScore W2888897281C73905626 @default.
- W2888897281 hasLocation W28888972811 @default.
- W2888897281 hasLocation W28888972812 @default.
- W2888897281 hasOpenAccess W2888897281 @default.
- W2888897281 hasPrimaryLocation W28888972811 @default.
- W2888897281 hasRelatedWork W1569909699 @default.
- W2888897281 hasRelatedWork W2018987079 @default.
- W2888897281 hasRelatedWork W2049473448 @default.
- W2888897281 hasRelatedWork W2063555005 @default.
- W2888897281 hasRelatedWork W2131602118 @default.
- W2888897281 hasRelatedWork W2888897281 @default.
- W2888897281 hasRelatedWork W2962878639 @default.
- W2888897281 hasRelatedWork W2963064315 @default.
- W2888897281 hasRelatedWork W2963796962 @default.
- W2888897281 hasRelatedWork W3157322793 @default.
- W2888897281 isParatext "false" @default.
- W2888897281 isRetracted "false" @default.
- W2888897281 magId "2888897281" @default.
- W2888897281 workType "article" @default.