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Analiza in algebra. Del 7, Leva odvajanja in sorodne preslikaveVukman, JosoNaj bo ▫$K$▫ kolobar in naj bo ▫$X$▫ levi ▫$K$▫-modul. Glavni namen naloge je raziskati aditivne preslikave ▫$D:K\to X$▫, ki zadoščajo pogoju ▫$D(x^2)=2xD(x),\;x\in K$▫ (jordanska leva odvajanja). ... Dokazano je, da pri razmeroma šibkih pogojih iz eksistence neničelnega jordanskega levega odvajanja ▫$D:K\to X$▫ sledi komutativnost kolobarja ▫$K$▫. Ta rezultat omogoča rešitev neke funkcionalne enačbe, ki jo je prvi obravnaval S. Kurepa. Dokazani sta dve nekomutativni razširitvi znanega Singer-Wermerjevega izreka.Type of material - research report ; adult, seriousPublication and manufacture - Ljubljana ; Maribor : Inštitut za matematiko, fiziko in mehaniko, 1989Language - slovenianCOBISS.SI-ID - 5932040
Author
Vukman, Joso
Other authors
Brešar, Matej
Topics
matematika |
funkcionalna analiza |
asociativni kolobarji in algebre |
jordanska leva odvajanja |
prakolobarji |
polprakolobarji |
Banachove algebre |
mathematics |
functional analysis |
associative rings and algebras |
Jordan left derivations |
prime rings |
semiprime rings |
Banach algebras
Library | Call number – location, accession no. ... | Copy status |
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FMF, Mathematical Library, Lj. | Skladišče-Jadranska 19 10920/229 |
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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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Vukman, Joso | 04310 |
Brešar, Matej | 08721 |
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