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  • On certain pairs of automorphisms of rings
    Brešar, Matej
    V članku so dokazane algebraične posplošitve rezultatov C. J. K. Battyja in A. B. Thaheema o avtomorfizmih ▫$\alpha$▫ in ▫$\beta$▫ ▫$C^\ast$▫-algeber z lastnostjo ▫$\alpha +\alpha^{-1} = \beta ... +\beta^{-1}$▫. Glavni izrek pravi tole: Če sta ▫$\alpha$▫ in ▫$\beta$▫ avtomorfizma polprakolobarja ▫$K$▫ in je ▫$\alpha +\alpha^{-1}=\beta +\beta^{-1}$▫, potem obstajajo taki invariantni ideali ▫$U_1,U_2,U_3$▫ kolobarja ▫$K$▫, da je ▫$U_i \cup U_j=0, \; i\ne j$▫, ▫$U_1\oplus U_2\oplus U_3$▫ je bistveni ideal, ▫$\alpha =\beta$▫ na ▫$U_1$▫, ▫$\alpha =\beta^{-1}$▫ na ▫$U_2$▫ in ▫$\alpha^2 =\beta^2 =\alpha^{-2}$▫ na ▫$U_3$▫.
    Source: Journal of the Australian Mathematical Society. Series A, Pure mathematics and statistics. - ISSN 0263-6115 (Let. 54, št. 1, 1993, str. 29-38)
    Type of material - article, component part
    Publish date - 1993
    Language - english
    COBISS.SI-ID - 5623812

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