Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 46, No. 1, pp. 71102 (2005) 

Linear extensions and nilpotence of Maltsev theoriesMamuka Jibladze and Teimuraz PirashviliDepartment of Algebra, Razmadze Mathematical Institute, Tbilisi 380093, GeorgiaAbstract: Relationship is clarified between the notions of linear extension of algebraic theories, and central extension, in the sense of commutator calculus, of their models. Varieties of algebras turn out to be nilpotent Maltsev precisely when their theories may be obtained as results of iterated linear extensions by bifunctors from the so called abelian theories. The latter theories are described; they are slightly more general than theories of modules over a ring. Full text of the article:
Electronic version published on: 11 Mar 2005. This page was last modified: 4 May 2006.
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