VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • On monoids of injective partial cofinite selfmaps
    Gutik, Oleg ; Repovš, Dušan, 1954-
    We study the semigroup ▫$\mathscr{I}^{\mathrm{cf}}_\lambda$▫ of injective partial cofinite selfmaps of an infinite cardinal ▫$\lambda$▫. We show that ▫$\mathscr{I}^{\mathrm{cf}}_\lambda$▫ is a ... bisimple inverse semigroup and each chain of idempotents in ▫$\mathscr{I}^{\mathrm{cf}}_\lambda$▫ is contained in a bicyclic subsemigroup of ▫$\mathscr{I}^{\mathrm{cf}}_\lambda$▫, we describe the Green relations on ▫$\mathscr{I}^{\mathrm{cf}}_\lambda$▫ and we prove that every non-trivial congruence on ▫$\mathscr{I}^{\mathrm{cf}}_\lambda$▫ is a group congruence. Also, we describe the structure of the quotient semigroup ▫$\mathscr{I}^{\mathrm{cf}}_\lambda/\sigma$▫, where ▫$\sigma$▫ is the least group congruence on ▫$\mathscr{I}^{\mathrm{cf}}_\lambda$▫.
    Vir: Mathematica slovaca. - ISSN 0139-9918 (Vol. 65, no. 5, 2015, str. 981-992)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 17538393

    Povezava(-e):

    http://dx.doi.org/10.1515/ms-2015-0067
    Repozitorij Univerze v Ljubljani – RUL

vir: Mathematica slovaca. - ISSN 0139-9918 (Vol. 65, no. 5, 2015, str. 981-992)
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