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A short note on the higher level version of the Krull--Baer theorem
Velušček, Dejan
Klep 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.
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