FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2972431288> ?p ?o ?g. }

• W2972431288 abstract "We give necessary and sufficient conditions for the Kummer extension $K:=mathbb{Q}left(zeta_n,sqrt[n]{alpha}right)$ to be monogenic over $mathbb{Q}(zeta_n)$ with $sqrt[n]{alpha}$ as a generator, i.e., for $mathcal{O}_K=mathbb{Z}left[zeta_nright]left[sqrt[n]{alpha}right]$. We generalize these ideas to radical extensions of an arbitrary number field $L$ and provide necessary and sufficient conditions for $sqrt[n]{alpha}$ to generate a power $mathcal{O}_L$-basis for $mathcal{O}_{Lleft(sqrt[n]{alpha}right)}$. We also give sufficient conditions for $K$ to be non-monogenic over $mathbb{Q}$ and establish a general criterion relating ramification and relative monogeneity. Using this criterion, we find a necessary and sufficient condition for a relative cyclotomic extension of degree $phi(n)$ to have $zeta_n$ as a monogenic generator." @default.
• W2972431288 created "2019-09-19" @default.
• W2972431288 creator A5052508390 @default.
• W2972431288 date "2019-09-16" @default.
• W2972431288 modified "2023-09-27" @default.
• W2972431288 title "The Monogeneity of Kummer Extensions and Radical Extensions." @default.
• W2972431288 cites W1072385747 @default.
• W2972431288 cites W1494748022 @default.
• W2972431288 cites W1592036493 @default.
• W2972431288 cites W1631230097 @default.
• W2972431288 cites W1677278072 @default.
• W2972431288 cites W171453585 @default.
• W2972431288 cites W1966576059 @default.
• W2972431288 cites W1966859033 @default.
• W2972431288 cites W1994112648 @default.
• W2972431288 cites W1994196377 @default.
• W2972431288 cites W2001227948 @default.
• W2972431288 cites W2004814677 @default.
• W2972431288 cites W2013907906 @default.
• W2972431288 cites W2015757208 @default.
• W2972431288 cites W2018714139 @default.
• W2972431288 cites W2018944634 @default.
• W2972431288 cites W2023023816 @default.
• W2972431288 cites W2025922459 @default.
• W2972431288 cites W2037754246 @default.
• W2972431288 cites W2059490704 @default.
• W2972431288 cites W2066058381 @default.
• W2972431288 cites W2069458457 @default.
• W2972431288 cites W2073530815 @default.
• W2972431288 cites W2086640955 @default.
• W2972431288 cites W2105615241 @default.
• W2972431288 cites W2105823432 @default.
• W2972431288 cites W2343256907 @default.
• W2972431288 cites W2484340437 @default.
• W2972431288 cites W2553782807 @default.
• W2972431288 cites W2592110271 @default.
• W2972431288 cites W2792354956 @default.
• W2972431288 cites W2890685172 @default.
• W2972431288 cites W2893361031 @default.
• W2972431288 cites W2909215338 @default.
• W2972431288 cites W2963357615 @default.
• W2972431288 cites W2968021617 @default.
• W2972431288 cites W3099034325 @default.
• W2972431288 hasPublicationYear "2019" @default.
• W2972431288 type Work @default.
• W2972431288 sameAs 2972431288 @default.
• W2972431288 citedByCount "0" @default.
• W2972431288 crossrefType "posted-content" @default.
• W2972431288 hasAuthorship W2972431288A5052508390 @default.
• W2972431288 hasConcept C114614502 @default.
• W2972431288 hasConcept C121332964 @default.
• W2972431288 hasConcept C12657307 @default.
• W2972431288 hasConcept C163258240 @default.
• W2972431288 hasConcept C199360897 @default.
• W2972431288 hasConcept C202444582 @default.
• W2972431288 hasConcept C24890656 @default.
• W2972431288 hasConcept C2775997480 @default.
• W2972431288 hasConcept C2778029271 @default.
• W2972431288 hasConcept C2780992000 @default.
• W2972431288 hasConcept C33923547 @default.
• W2972431288 hasConcept C41008148 @default.
• W2972431288 hasConcept C62520636 @default.
• W2972431288 hasConcept C9652623 @default.
• W2972431288 hasConceptScore W2972431288C114614502 @default.
• W2972431288 hasConceptScore W2972431288C121332964 @default.
• W2972431288 hasConceptScore W2972431288C12657307 @default.
• W2972431288 hasConceptScore W2972431288C163258240 @default.
• W2972431288 hasConceptScore W2972431288C199360897 @default.
• W2972431288 hasConceptScore W2972431288C202444582 @default.
• W2972431288 hasConceptScore W2972431288C24890656 @default.
• W2972431288 hasConceptScore W2972431288C2775997480 @default.
• W2972431288 hasConceptScore W2972431288C2778029271 @default.
• W2972431288 hasConceptScore W2972431288C2780992000 @default.
• W2972431288 hasConceptScore W2972431288C33923547 @default.
• W2972431288 hasConceptScore W2972431288C41008148 @default.
• W2972431288 hasConceptScore W2972431288C62520636 @default.
• W2972431288 hasConceptScore W2972431288C9652623 @default.
• W2972431288 hasLocation W29724312881 @default.
• W2972431288 hasOpenAccess W2972431288 @default.
• W2972431288 hasPrimaryLocation W29724312881 @default.
• W2972431288 hasRelatedWork W1971590251 @default.
• W2972431288 hasRelatedWork W2002112689 @default.
• W2972431288 hasRelatedWork W2052167049 @default.
• W2972431288 hasRelatedWork W2210678490 @default.
• W2972431288 hasRelatedWork W2269283335 @default.
• W2972431288 hasRelatedWork W2271226475 @default.
• W2972431288 hasRelatedWork W2783071515 @default.
• W2972431288 hasRelatedWork W2798418428 @default.
• W2972431288 hasRelatedWork W2885858517 @default.
• W2972431288 hasRelatedWork W2948348353 @default.
• W2972431288 hasRelatedWork W2949089763 @default.
• W2972431288 hasRelatedWork W2963916223 @default.
• W2972431288 hasRelatedWork W3008576014 @default.
• W2972431288 hasRelatedWork W3027337588 @default.
• W2972431288 hasRelatedWork W3036329001 @default.
• W2972431288 hasRelatedWork W3102159237 @default.
• W2972431288 hasRelatedWork W3169655606 @default.
• W2972431288 hasRelatedWork W3183090857 @default.
• W2972431288 hasRelatedWork W3188773499 @default.
• W2972431288 hasRelatedWork W3191289830 @default.

• next