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  • Algebra in superextensions of groups: minimal left ideals
    Banakh, Taras, 1968- ; Gavrylkiv, Volodymyr
    We prove that the minimal left ideals of the superextension ▫$\lambda(X)$▫ of a discrete group ▫$X$▫ are singletons if and only if ▫$X$▫ is odd in the sense thateach element of ▫$X$▫ has odd order. ... On the other hand, the minimal left ideals of the superextension ▫$\lambda({\mathbb Z})$▫ of the discrete group ▫${\mathbb Z}$▫ of integers are metrizable topological semigroups, topologically isomorphic to minimal left ideals of the superextension ▫$\lambda({\mathbb Z}_2)$▫ of the compact group ▫${\mathbb Z}_2$▫ of integer 2-adic numbers.
    Vir: Matematičnì studiï. - ISSN 1027-4634 (Vol. 31, no. 2, 2009, str. 142-148)
    Vrsta gradiva - članek, sestavni del
    Leto - 2009
    Jezik - angleški
    COBISS.SI-ID - 15238745

    Povezava(-e):

    http://www.vntl.com/im/pdf/31_2_142_148.pdf

vir: Matematičnì studiï. - ISSN 1027-4634 (Vol. 31, no. 2, 2009, str. 142-148)
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