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Struktura polnih ▫$^\ast$▫-regularnih kolobarjevVidav, IvanNamen naloge je bil študirati polne regularne involutivne kolobarje, ki ustrezajo dodatnim aksiomom. Najpomembnejši dobljeni rezultati: Preprost dokaz izreka, da je vsak tak kolobar direktna vsota ... kolobarja tipa ▫$I$▫ in kolobarja tipa ▫$II$▫. Kolobar tipa ▫$I$▫ je direktna vsota kolobarjev tipa ▫$I_n$▫. Če imajo polni involutivni regularni kolobarji podobne lastnosti kakor ▫$C^\ast$▫-algebre, velja isto za matrične kolobarje. Enačba ▫$ww^\ast - w^\ast w = 1$▫ je rešljiva v regularnih kolobarjih. Vsak biregularen kolobar z enoto se da reprezentirati s kolobarjem prerezom snopa nad ustreznim strukturnim prostorom.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1969Language - slovenianCOBISS.SI-ID - 9768704
Author
Vidav, Ivan
Other authors
Prijatelj, Niko |
Vrabec, Jože, 1940-
Topics
matematika |
algebra |
involutivni regularni kolobarji |
biregularni kolobarji |
strukturni prostori |
snopi |
kolobarji prerezov snopov |
mathematics |
algebra |
involutive regular rings |
biregular rings |
structure spaces |
sheaves |
rings of sections
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Library/institution |
City | Acronym | For loan | Other holdings |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
reading room 1 cop.
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National and University Library, Ljubljana | Ljubljana | NUK |
reading room 1 cop.
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Vidav, Ivan | 00225 |
Prijatelj, Niko | 00221 |
Vrabec, Jože, 1940- | 00724 |
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