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Preslikave na trikotnih algebrah : doktorska disertacijaBenkovič, DominikV prvem delu disertacije so na trikotnih algebrah obravnavane komutirajoče sledi bilinearnih preslikav, Liejevi izomorfizmi in bijektivni ohranjevalci komutativnosti. Na centralnih trikotnih algebrah ... so obravnavane bijektivne linearne preslikave, ki zadoščajo naslednjemu pogoju, ki je šibkejši od pogoja za ohranjanje komutativnosti: ▫$\theta(x^2) \theta(x) = \theta(x) \theta(x^2)$▫ za vsak ▫$x$▫ iz algebre ▫$\mathcal{A}$▫. Izkaže se, da je ob ustreznih predpostavkah vsaka taka preslikava standardni ohranjevalec komutativnosti. Drugi del disertacije obravnava jordanske preslikave na trikotnih algebrah. Dokazano je, da je vsako jordansko odvajanje na trikotni algebri odvajanje. Obravnavano je tudi vprašanje obstoja antiodvajanj. V nadaljevanju so obravnavana jordanska odvajanja iz zgornje trikotne matrične algebre v njene bimodule in tudi struktura jordanskih homomorfizmov na algebri zgornje trikotnih matrik.Type of material - dissertation ; adult, seriousPublication and manufacture - [Maribor : D. Benkovič], 2005Language - slovenianCOBISS.SI-ID - 14304776
Author
Benkovič, Dominik
Other authors
Brešar, Matej
Topics
matematika |
algebra |
disertacije |
trikotna algebra |
gnezdna algebra |
preslikave |
Liejev izomorfizem |
Liejevo odvajanje |
jordanski homomorfizem |
jordansko odvajanje |
antiodvajanje |
mathematics |
triangular algebra |
nest algebra |
Lie isomorphism |
Lie derivation |
Jordan homomorphism |
Jordan derivation |
antiderivation
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Database name | Field | Year |
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Benkovič, Dominik | 19551 |
Brešar, Matej | 08721 |
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