6533b85bfe1ef96bd12ba208

RESEARCH PRODUCT

An almost nilpotent variety of exponent 2

A. ValentiS. Mishchenko

subject

Discrete mathematicsPure mathematicsSequenceSubvarietyGeneral MathematicsZero (complex analysis)Field (mathematics)Variety codimensions growth.NilpotentSettore MAT/02 - AlgebraExponential growthExponentVariety (universal algebra)Mathematics

description

We construct a non-associative algebra A over a field of characteristic zero with the following properties: if V is the variety generated by A, then V has exponential growth but any proper subvariety of V is nilpotent. Moreover, by studying the asymptotics of the sequence of codimensions of A we deduce that exp(V) = 2.

yearjournalcountryeditionlanguage
2013-06-08
10.1007/s11856-013-0029-4http://hdl.handle.net/10447/99680