Year: 2024
Type: article
Abstract: The queried ``if there any finite universal elastic property loop that is not a middle Bol loop" is still open in the theoretical study of loops. The solution of the above open problem is found at the neighbourhood of the study of universal elastic law and its generalization termed $\alpha-$elastic law. In this paper, the invariant $\alpha-$elastic property under the isostrophy of loops were studied. Necessary and sufficient condition for the invariant $\alpha-$elasticity is found. It was shown that commutative loops with invariant $\alpha-$elastic property are inverse property loops. In particular, it was revealed that a commutative inverse property loops with universal $\alpha-$elastic property are generalized Moufang loops.
Source: Proyecciones (Antofagasta)
Authors: Osoba Benard, Oyebo Yakub Tunde
Institution: Bells University of Technology
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409469490