Za vsako naravno število ▫$n$▫ obstaja naravno število ▫$f(n)$▫ z naslednjo lastnostjo. Naj bo ▫$R$▫ prakolobar z razširjenim centroidom ▫$C$▫ in naj bodo ▫$a_1,a_2,\ldots,a_n$▫ ▫$C$▫-neodvisni ...elementi iz ▫$R$▫. Potem obstaja tak element ▫$p = \sum_{j=1}^{m} L_{u_{j}} R_{v_{j}}$▫ v multiplikacijskem kolobarju kolobarja ▫$R$▫, da je ▫$m\le f(n)$▫, ▫$p(a_1) \neq 0$▫ in ▫$p(a_2),\ldots,p(a_n)$▫ so ▫$C$▫-neodvisni. S podobnim pristopom se izračuna krepka stopnja direktnega produkta enostavnih artinskih kolobarjev.
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