On linearity of isotopes of abelian groups.
DOI:
https://doi.org/10.31558/1817-2237.2017.1-2.9Keywords:
quasigroup, linear quasigroup, group isotopeAbstract
The concept of middle linearity for isotopes of Abelian groups is introduced. If a quasigroup is one-sided linear then two of its parastrophes are left linear, two right linear and two are middle linear. The corresponding formula is given. Relations for the corresponding varieties and identities are established. Involutional one-sided central quasigroups are characterized.
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