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13.
Endomorphism rings of ▫$p$▫-local finite spectra are semi-perfect
Pavešić, Petar
Naj bo ▫$X$▫ končen spekter. Dokažemo, da je kolobar endomorfizmov ▫$R(X_{(p)})$▫, ▫$p$▫-lokalizacije spektra ▫$X$▫, polperfekten. Od tod sledi, med ostalim, krepki izrek o enolični faktorizaciji za ...končne ▫$p▫-lokalne spektre. Glavni korak je v dokazu, da Jacobsonov radikal kolobarja ▫$R(X_{(p)})$▫ dopušča dviganje idempotentov.
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