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The Joly-Becker theorem for ▫$\ast$▫-orderings
Klep, Igor, matematik ; Velušček, Dejan
Dokažemo ▫$\ast$▫-različico Joly-Beckerjevega izreka: nekomutativni obseg ima ▫$\ast$▫-ureditev reda ▫$n$▫ tedaj in le tedaj, ko ima ▫$\ast$▫-ureditev reda ▫$n \ell$▫ za vse (nekatere) lihe ▫$\ell ...\in \mathbb{N}$▫. Za nekomutativne obsege z imaginarno enoto ta rezultat izboljšamo: taksen obseg ima ▫$\ast$▫-ureditev višjega reda natanko tedaj, ko vsebuje ▫$\ast$▫-ureditev reda 1. Vsak komutativen obseg, ki ima ▫$\ast$▫-ureditev višjega reda, ima $\ast$-ureditev reda 1 ali 2.
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