Linear extensions and nilpotence for Maltsev theories

Details Linear extensions and nilpotence for Maltsev theories Linear extensions and nilpotence for Maltsev theories

2002-03-08

arxiv.org/abs/math/0203084v1

Mathematics

Category Theory

Scientific paper

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.

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