Not Every Osborn Loop Is Universal
Temitope Gbolahan Jaiyeola, John Olushola Adeniran
TL;DR
This paper resolves an open problem by demonstrating that not all Osborn loops possess the property of universality, clarifying a long-standing question in loop theory.
Contribution
It proves that the universality property does not hold for all Osborn loops, providing a definitive answer to Kinyon's 2005 open problem.
Findings
Not all Osborn loops are universal.
The universality property is not inherent to Osborn loops.
The paper settles a 2005 open problem in loop theory.
Abstract
Michael Kinyon's 2005 open problem, based on the universality of Osborn loops is solved. It is shown that not every Osborn loop is universal.
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Taxonomy
TopicsMathematics and Applications · graph theory and CDMA systems