2005
DOI: 10.1155/ijmms.2005.571
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Nicely semiramified division algebras over Henselian fields

Abstract: This paper deals with the structure of nicely semiramified valued division algebras. We prove that any defectless finite-dimensional central division algebra over a Henselian field E with an inertial maximal subfield and a totally ramified maximal subfield (not necessarily of radical type) (resp., split by inertial and totally ramified field extensions of E) is nicely semiramified

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Cited by 4 publications
(1 citation statement)
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“…In case (4), since D is nicely semiramified, by definition (see[42], p. 149) it contains maximal subfields K and L, with K unramified over F and L totally ramified over F . (In fact, by[75], Th. 2.4, D is nicely semiramified if and only if it has such maximal subfields.)…”
mentioning
confidence: 97%
“…In case (4), since D is nicely semiramified, by definition (see[42], p. 149) it contains maximal subfields K and L, with K unramified over F and L totally ramified over F . (In fact, by[75], Th. 2.4, D is nicely semiramified if and only if it has such maximal subfields.)…”
mentioning
confidence: 97%