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Tytuł artykułu

Holomorph of generalized Bol loops II

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The notion of the holomorph of a generalized Bol loop (GBL) is characterized afresh. The holomorph of a right inverse property loop (RIPL) is shown to be a GBL if and only if the loop is a GBL and some bijections of the loop are right (middle) regular. The holomorph of a RIPL is shown to be a GBL if and only if the loop is a GBL and some elements of the loop are right (middle) nuclear. Necessary and sufficient conditions for the holomorph of a RIPL to be a Bol loop are deduced. Some algebraic properties and commutative diagrams are established for a RIPL whose holomorph is a GBL.
Słowa kluczowe
Twórcy
  • Department of Mathematics, Faculty of Science, Obafemi Awolowo University, Ile Ife 220005, Nigeria
  • Department of Mathematics, Federal College of Education, Osiele, Abeokuta 110101, Nigeria
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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