On some criterions of finiteness conditions in commutative Moufang loops
Aliona Babiy, Nicolae Sandu
TL;DR
This paper characterizes various finiteness conditions in commutative Moufang loops through the use of centralizers of subloops and subgroups of their multiplication groups, providing a structural understanding.
Contribution
It introduces new criteria for finiteness conditions in commutative Moufang loops based on centralizer concepts, advancing the theoretical framework.
Findings
Finiteness conditions are characterized via centralizers.
New criteria relate loop properties to subgroup centralizers.
Structural insights into commutative Moufang loops are provided.
Abstract
The various finiteness conditions in commutative Moufang loops are characterized using the notions of centralizer of subloops and centralizer of subgroups of its multiplication group.
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Taxonomy
TopicsMathematics and Applications · graph theory and CDMA systems · History and Theory of Mathematics