Browsing 2. Articole by Author "Grecu, Ion"

Browsing 2. Articole by Author "Grecu, Ion"

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  • ASUPRA GRUPULUI MULTIPLICATIV AL BUCLELOR MEDII BOL 
    Grecu, Ion (CEP USM, 2014)
  • COMMUTANTS OF MIDDLE BOL LOOPS 
    Grecu, Ion; Syrbu, Parascovia (Academy of Sciences of Moldova, 2014)
    The commutant of a loop is the set of all its elements that commute with each element of the loop. It is known that the commutant of a left or right Bol loop is not a subloop in general. Below we prove that the commutant ...
  • LOOPS WITH INVARIANT FLEXIBILITY UNDER THE ISOSTROPHY 
    Syrbu, Parascovia; Grecu, Ion (Institutul de Matematică şi Informatică al AŞM, 2020)
    The question ”Are the loops with universal (i.e. invariant under the isotopy of loops) flexibility law xy·x=x·yx , middle Bol loops?” is open in the theory of loops. If this conjecture is true then the loops for which ...
  • ON MULTIPLICATION GROUPS OF ISOSTROPHIC QUASIGROUPS. 
    Grecu, Ion (Valines SRL, 2014)
    Relations between the multiplication groups of loops which are isostrophes of quasigroups are studied in the present work. We prove that, if (Q; ¢) is a quasigroup and its isostrophe (Q; ±), where x ± y = Ã(y) n '(x), ...
  • ON MULTIPLICATION OF ISOSTROPHIC QUASIGROUPS 
    Grecu, Ion (CEP USM, 2014)
    A loop is called a middle Bol loop if every loop isotope of satisfies the identity(i.e. if the anti- autmorphic inverse property is universal in ). Middle Bol loops are isostrophes of left (right) Bol loops. Multiplication ...
  • ON PSEUDOAUTOMORPHISMS OF MIDDLE BOL LOOPS 
    Grecu, Ion (CEP USM, 2015)
    A loop (Q1▪) is called a middle Bol loop if every loop isotope of (Q1▪) satisfies the identity (x∙y)-1 = y -1 x -1 (i.e. if the anti-automorphic inverse property is universal in (Q1▪) [1]. Middle Bol loops are isostrophes ...
  • PSEUDO-AUTOMORPHISMS OF MIDDLE BOL LOOPS 
    Grecu, Ion (CEP USM, 2017)
    The set of Moufang elements in a middle Bol loop is considered in the present work. We prove that every inner mapping of the Moufang part (which is a subloop) of a middle Bol loop (Q,·) extends to a right pseudo-automorphism ...

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