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A short note on the higher level version of the Krull--Baer theoremVelušček, DejanKlep in Velušček sta posplošila izrek Krulla in Baera o predureditvah višjega reda na nekomutativne obsege. ▫$n$▫-realna valuacija ▫$v$▫ na (ne nujno komutativnem) obsegu ▫$D$▫ porodi homomorfizem ... grup ▫$\bar{v}$▫. Prerez ▫$\bar{v}$▫ je ključna sestavina konstrukcije polne predureditve na osnovnem obsegu ▫$D$▫, katere projekcija na residualni obseg ▫$k_v$▫ je enaka obstoječi ureditvi stopnje ▫$1$▫ na ▫$k_v$▫. V članku dokažemo obstoj prereza homomorfizma ▫$\bar{v}$▫, ki je bil s strani Klepa in Veluščka izpostavljen kot odprt problem, in s tem kompletirali posplošitev izreka Krulla in Baera za predureditve.Source: Canadian mathematical bulletin = Bulletin canadien de mathématiques. - ISSN 0008-4395 (Vol. 54, no. 2, 2011, str. 381-384)Type of material - article, component partPublish date - 2011Language - englishCOBISS.SI-ID - 15907161
Author
Velušček, Dejan
Topics
algebra |
ureditve višjega reda |
nekomutativni obsegi |
valuacije |
algebra |
orderings of higher level |
division rings |
valuations
source: Canadian mathematical bulletin = Bulletin canadien de mathématiques. - ISSN 0008-4395 (Vol. 54, no. 2, 2011, str. 381-384)
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Velušček, Dejan | 23962 |
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