Title

Complete graph decompositions and P-groupoids

Document Type

Article

Publication Date

1-1-2019

Abstract

© 2019, Institute of Mathematics, Academy of Sciences Moldova. All rights reserved. We study P-groupoids that arise from certain decompositions of complete graphs. We show that left distributive P-groupoids are distributive, quasigroups. We characterize some P-groupoids when the corresponding decomposition is a Hamiltonian decomposition for complete graphs of odd, prime order. We also study a specific example of a P-quasigroup constructed from cyclic groups of odd order. We show that the right multiplication group of such P-quasigroups is isomorphic to the dihedral group.

Publication Title

Quasigroups and Related Systems

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