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Free Abelian extensions in the congruence-permutable varieties

Pavel Zhdanovich (2002)

Discussiones Mathematicae - General Algebra and Applications

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.

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