Matches in SemOpenAlex for { <https://semopenalex.org/work/W2891990745> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W2891990745 abstract "For any two complete discrete valued fields $K_1$ and $K_2$ of mixed characteristic with perfect residue fields, we show that if the $n$-th valued hyperfields of $K_1$ and $K_2$ are isomorphic over $p$ for each $nge1$, then $K_1$ and $K_2$ are isomorphic. More generally, for $n_1,n_2ge 1$, if $n_2$ is large enough, then any homomorphism, which is over $p$, from the $n_1$-th valued hyperfield of $K_1$ to the $n_2$-th valued hyperfield of $K_2$ can be lifted to a homomorphism from $K_1$ to $K_2$. We compute such $n_2$ effectively, which depends only on the ramification indices of $K_1$ and $K_2$. Moreover, if $K_1$ is tamely ramified, then any homomorphism over $p$ between the first valued hyperfields is induced from a unique homomorphism of valued fields. Using this lifting result, we deduce a relative completeness theorem of AKE-style in terms of valued hyperfields. We also study some relationships between valued hyperfields, truncated discrete valuation rings, and complete discrete valued fields of mixed characteristic. For a prime number $p$ and a positive integer $e$ and for large enough $n$, we show that a certain category of valued hyperfields is equivalent to the category of truncated discrete valuation rings of length $n$ and the ramification indices $e$ having perfect residue fields of characteristic $p$. Furthermore, in the tamely ramified case, we show that a subcategory of this category of valued hyperfields is equivalent to the category of complete discrete valued rings of mixed characteristic $(0,p)$ having perfect residue fields." @default.
- W2891990745 created "2018-09-27" @default.
- W2891990745 creator A5066235885 @default.
- W2891990745 date "2018-09-07" @default.
- W2891990745 modified "2023-09-27" @default.
- W2891990745 title "Hyperfields, truncated DVRs and valued fields" @default.
- W2891990745 cites W1995601917 @default.
- W2891990745 cites W2027336894 @default.
- W2891990745 hasPublicationYear "2018" @default.
- W2891990745 type Work @default.
- W2891990745 sameAs 2891990745 @default.
- W2891990745 citedByCount "0" @default.
- W2891990745 crossrefType "posted-content" @default.
- W2891990745 hasAuthorship W2891990745A5066235885 @default.
- W2891990745 hasConcept C114614502 @default.
- W2891990745 hasConcept C118615104 @default.
- W2891990745 hasConcept C134306372 @default.
- W2891990745 hasConcept C144558754 @default.
- W2891990745 hasConcept C184992742 @default.
- W2891990745 hasConcept C200116569 @default.
- W2891990745 hasConcept C202444582 @default.
- W2891990745 hasConcept C2779467367 @default.
- W2891990745 hasConcept C2779873844 @default.
- W2891990745 hasConcept C2780617661 @default.
- W2891990745 hasConcept C2781025942 @default.
- W2891990745 hasConcept C33923547 @default.
- W2891990745 hasConcept C38803922 @default.
- W2891990745 hasConcept C4042151 @default.
- W2891990745 hasConcept C9652623 @default.
- W2891990745 hasConceptScore W2891990745C114614502 @default.
- W2891990745 hasConceptScore W2891990745C118615104 @default.
- W2891990745 hasConceptScore W2891990745C134306372 @default.
- W2891990745 hasConceptScore W2891990745C144558754 @default.
- W2891990745 hasConceptScore W2891990745C184992742 @default.
- W2891990745 hasConceptScore W2891990745C200116569 @default.
- W2891990745 hasConceptScore W2891990745C202444582 @default.
- W2891990745 hasConceptScore W2891990745C2779467367 @default.
- W2891990745 hasConceptScore W2891990745C2779873844 @default.
- W2891990745 hasConceptScore W2891990745C2780617661 @default.
- W2891990745 hasConceptScore W2891990745C2781025942 @default.
- W2891990745 hasConceptScore W2891990745C33923547 @default.
- W2891990745 hasConceptScore W2891990745C38803922 @default.
- W2891990745 hasConceptScore W2891990745C4042151 @default.
- W2891990745 hasConceptScore W2891990745C9652623 @default.
- W2891990745 hasLocation W28919907451 @default.
- W2891990745 hasOpenAccess W2891990745 @default.
- W2891990745 hasPrimaryLocation W28919907451 @default.
- W2891990745 hasRelatedWork W1664268280 @default.
- W2891990745 hasRelatedWork W1965243083 @default.
- W2891990745 hasRelatedWork W1968212859 @default.
- W2891990745 hasRelatedWork W1973429345 @default.
- W2891990745 hasRelatedWork W1975923819 @default.
- W2891990745 hasRelatedWork W2000401436 @default.
- W2891990745 hasRelatedWork W2076201022 @default.
- W2891990745 hasRelatedWork W2085766468 @default.
- W2891990745 hasRelatedWork W2099890088 @default.
- W2891990745 hasRelatedWork W2100786056 @default.
- W2891990745 hasRelatedWork W2335140105 @default.
- W2891990745 hasRelatedWork W2337814661 @default.
- W2891990745 hasRelatedWork W2808336880 @default.
- W2891990745 hasRelatedWork W2952659553 @default.
- W2891990745 hasRelatedWork W2990246120 @default.
- W2891990745 hasRelatedWork W3006222447 @default.
- W2891990745 hasRelatedWork W3106736748 @default.
- W2891990745 hasRelatedWork W3179095898 @default.
- W2891990745 hasRelatedWork W3186807377 @default.
- W2891990745 hasRelatedWork W3199863149 @default.
- W2891990745 isParatext "false" @default.
- W2891990745 isRetracted "false" @default.
- W2891990745 magId "2891990745" @default.
- W2891990745 workType "article" @default.