2002/03/08 by Mamuka Jibladze, Teimuraz Pirashvili, Jibladze, Mamuka +1 · 1 citation
Computer Science · Mathematics · #18C10 #18G99 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.CT #math.KT #msc:18C10 #msc:18G99
paper · pdf · doi:10.48550/arxiv.math/0203084
arxiv created 2002/03/08 · openalex publication_date 2002/03/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.