Algebre z neizrojeno invariantno bilinearno formo : magistrsko delo
Cedilnik, Anton
V delu so obravnavane na nujno asociativne algebre, nad katerimi delujejo neizrojene bilinearne forme, ki so invariantne v tem smislu: ▫$f(xy,z) = f(x,yz)$▫. Najprej so te algebre obdelane povsem ...algebrsko, pri čemer so glavno orodje anihilatorji. Navzlic temu pa omenjene forme vpeljujejo v nosilne prostore dualnosti in s tem lokalno konveksne topologije. Posebej je podan asociativni primer. Če je to topologija Banachovega ali celo Hilbertovega prostora, nastanejo strukture, ki so nekakšna analogija asociativnim ▫$^*$▫-algebram. Kljub neasociativnosti je možno v pomembnejših primerih izpeljati izreke Wedderburnovega tipa.
Type of material - master's thesis
Publication and manufacture - Ljubljana : [A. Cedilnik], 1978
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