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TrojkeZalar, BorutV članku je predstavljeno novo področje algebre, ki se imenuje "trojke" oziroma terarni sistemi. Kot zgled je predstavljena trojka vseh ▫$n\times m$▫ matrik. Predstavljeno je, kako v trojkah ... definiramo ideale, center, homomorfizme in potence. Vse definicije so ilustrirane na zgledu matrične trojke. V drugem delu članka je opisana trojka omejenih linearnih operatorjev med Hilbertovima prostoroma. Izračunan je centroid take trojke in opisani njeni avtomorfizemski pari. Dokazano je tudi, da je trojka operatorjev ▫$C^\ast$▫-trojka v smislu definicije H. Zettla.Source: Obzornik za matematiko in fiziko. - ISSN 0473-7466 (Let. 39, št. 1, 1992, str. 9-18; Let. 39, št. 2, 1992, str. 43-48)Type of material - article, component partPublish date - 1992Language - slovenianCOBISS.SI-ID - 4839001
Author
Zalar, Borut
Topics
matematika |
neasociativni kolobarji in algebre |
trojka |
ideal |
centroid |
obrnljivi elementi |
homomorfizem |
potence |
avtomorfizemski par |
mathematics |
nonassociative ring and algebra |
triple systems |
ideal |
centroid |
invertible elements |
homomorphism |
powers |
automorphism pairs
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Zalar, Borut | 11719 |
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