- Tytuł:
- Holomorph of generalized Bol loops II
- Autorzy:
-
Jaíyéiọlá, Tèmítọ́pẹ́
Popoola, Bolaji - Powiązania:
- https://bibliotekanauki.pl/articles/729179.pdf
- Data publikacji:
- 2015
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
generalized Bol loop
holomorph of a loop - Opis:
- 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.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2015, 35, 1; 59-78
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł