On determinability of idempotent medial commutative quasigroups by their endomorphism semigroups

摘要

We extend the result of P. Puusemp (Idempotents of the endomorphism semigroups of groups. Acta Comment. Univ. Tartuensis, 1975, 366, 76a€“104) about determinability of finite Abelian groups by their endomorphism semigroups to finite idempotent medial commutative quasigroups.