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Some isotopy-isomorphy conditions for m-inverse quasigroups and loops

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Abstract

This work presents a special type of middle isotopism under which m-inverse quasigroups are isotopic invariant. Two distinct isotopyisomorphy conditions for m-inverse loops are established. Only one of them characterizes isotopy-isomorphy in m-inverse loops while the other is just a sufficient condition for isotopy-isomorphy for specially middle isotopic m-inverse quasigroup.

Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.411.9201
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