ArticleOriginal scientific text
Title
Free Abelian extensions in the congruence-permutable varieties
Authors 1
Affiliations
- Volgograd State Pedagogical University, Russia
Abstract
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
Bibliography
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Main language of publication
English
Received
2002-12-23
Accepted
2003-01-13
Published
2002
DOI: 10.7151/dmgaa.1058
Exact and natural sciences