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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1058, author = {Pavel Zhdanovich}, title = {Free Abelian extensions in the congruence-permutable varieties}, journal = {Discussiones Mathematicae - General Algebra and Applications}, volume = {22}, year = {2002}, zbl = {1033.08002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1058} }
Pavel Zhdanovich. Free Abelian extensions in the congruence-permutable varieties. Discussiones Mathematicae - General Algebra and Applications, Tome 22 (2002) . http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1058/
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