Geodesic
Free Abelian extensions in the congruence-permutable varieties
Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 2

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We obtain the construction of free abelian extensions in a congurence-permutable variety V using the construction of a free abelian extension in a variety of algebras with one ternary Mal'cevoperation and a monoid of unary operations. We also use this construction to obtain a free solvable V-algebra.
Keywords: abelian extension, solvable algebra, congurence-permutable variety 
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     title = {Free {Abelian} extensions in the congruence-permutable varieties},
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Zhdanovich, Pavel. Free Abelian extensions in the congruence-permutable varieties. Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 2. http://geodesic.mathdoc.fr/item/DMGAA_2002_22_2_a8/