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Some Characterizations of Generalized Middle Bol Loops
Authors: B. Osoba, T. G. Jaiyédolá, A. O. Isere and Y. T. Oyebo
Keywords: generalized middle Bol loop, autotopisms, Bryant-Schneider group, pseudo-automorphism, crypto-automorphism
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Keywords: generalized middle Bol loop, autotopisms, Bryant-Schneider group, pseudo-automorphism, crypto-automorphism
Abstract
In this work, the two identities that characterize middle Bol loop (MBL) were separately generalized to define generalized middle Bol loops (GMBL1 and GMBL2) and their relationship was unraveled for possible equivalence. Thereafter, autotopic characterizations of identities GMBL1 and GMBL2 in a loop were carried out. Banking on these, the Bryant-Schneider group characterization of generalized middle Bol loop was carried out. Furthermore, an autotopic-split and right (left) pseudo-automorphic characterization of generalized middle Bol loop were carried out. Furthermore, a right (left) pseudo-automorphic characterization of the isotopy-isomorphy of generalized middle Bol loop was also carried out. This is a sort of 'G-generalized middle Bol loop' characterization based on pseudo-automorphic companionship of elements of GMBL as already established for 'G-loops'.Benard Osoba
Department of Physical Science, College of Natural and
Applied Sciences, Bells University of Technology, Ota,
Ogun State, Nigeria
E-mail: ,
T. G. Jaiyédolá
Department of Mathematics, Obafemi Awolowo University,
Ile-Ife 220005, Nigeria.
Department of Mathematics, University of Lagos, Akoka,
Nigeria
E-mail: ,
Abednego Orobosa Isere
Department of Mathematics, Ambrose Alli University,
Ekpoma 310001, Nigeria.
E-mail: ,
Yakub Tunde Oyebo
Department of Mathematics, Lagos State University, Ojo,
Lagos State, Nigeria.
E-mail: ,
Department of Physical Science, College of Natural and
Applied Sciences, Bells University of Technology, Ota,
Ogun State, Nigeria
E-mail: ,
T. G. Jaiyédolá
Department of Mathematics, Obafemi Awolowo University,
Ile-Ife 220005, Nigeria.
Department of Mathematics, University of Lagos, Akoka,
Nigeria
E-mail: ,
Abednego Orobosa Isere
Department of Mathematics, Ambrose Alli University,
Ekpoma 310001, Nigeria.
E-mail: ,
Yakub Tunde Oyebo
Department of Mathematics, Lagos State University, Ojo,
Lagos State, Nigeria.
E-mail: ,
DOI
https://doi.org/10.56415/basm.y2024.i3.p12Fulltext
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Contents
- Existence of positive periodic solution of second-order neutral differential equations with distributed deviating arguments
- Some Characterizations of Generalized Middle Bol Loops
- The codimension of the phase portraits for degenerate quadratic differential systems
- Evolution Time of Stochastic Systems with Multiple Final Sequences of States
- Integrated MILP model for job and crew scheduling to minimize job earliness and tardiness while balancing employee workload
- Remotely Almost Periodic Motions of Dynamical Systems
- On LCA groups with local ring of continuous endomorphisms
- Characteristic Properties of Centrally Symmetric Convex Sets
- The application of 14D Ricci-flat metrics to the equations of rotation of a top
