Abstract
Let Abd be a variety of Abelian groups of a finite exponent d≥1 and SC (Abd) be the set of all strong Mal’tsev conditions satisfied in Abd. We define the concept of a η-basis in SC(Abd) in terms of a basis w.r.t. a class η of varieties with commutative operations. The algorithm for constructing η-bases of any finite length in SC(Abd) is presented. For the variety Ab of all Abelian groups, we specify absolute bases of length 2 in SC(Ab) which are simultaneously η-bases. Bases of length 2 with similar properties are constructed also in SC(Abd), for any natural number d≥2.
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