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  • Rank-permutable additive mappings
    Alieva, Anna A. ; Guterman, Aleksandr Èmilevič, 1975- ; Kuzma, Bojan, 1968-
    Bodi ▫$\sigma$▫ netrivialna permutacija na ▫$k$▫ elementih. Klasificiramo vse aditivne bijekcije ▫$T:M_n(F)\to M_n(F)$▫, ki ohranjajo ▫$\sigma$▫-rang permutabilnost na algebri matrik s koeficienti iz ... komutativnega obsega ▫$F$▫ ničelne karakteristike. Natančneje: Čim urejena ▫$k$▫-terka matrik ▫$(A_1,..,A_k)$▫ ustreza pogoju ▫$\rm{rk}(A_1...A_k) = \rm{rk}(A_{\sigma(1)} ... A_{\sigma(k)})$▫ potem isto velja za preslikano ▫$k$▫-terko ▫$(T(A_1),..,T(A_k))$▫. Če se ▫$\sigma$▫-rang permutabilnost ohranja v obeh smereh, lahko predpostavko o bijektivnosti omilimo.
    Source: Linear algebra and its applications. - ISSN 0024-3795 (Vol. 414, iss. 2-3, 2006, str. 607-616)
    Type of material - article, component part
    Publish date - 2006
    Language - english
    COBISS.SI-ID - 13949273

    Link(s):

    http://dx.doi.org/10.1016/j.laa.2005.11.003
    Repository of University of Primorska - RUP

source: Linear algebra and its applications. - ISSN 0024-3795 (Vol. 414, iss. 2-3, 2006, str. 607-616)
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