About AC-Groupoids [Articol]
Date
2024
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Abstract
The concept of a right (left) AC-groupoid over an arbitrary group is defined and studied. Necessary and sufficient conditions which transform a right (left) AC-groupoid into a quasigroup are given. The AC-groupoids form a wide class of special groupoids and quasigroups that have a transitive subset of automorphisms.
Description
Keywords
groupoid, automorphism, quasigroup, group, AC-groupoid
Citation
IZBAS, Vladimir and Ana-Maria IZBAS. About AC-Groupoids. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 71-76. ISBN 978-9975-68-515-3