4 papers
math.RA2002
A non radical based approach to study of associative algebras
Vladimir Dergachev
We study pairs of associative algebras and linear functionals. New results together with corrected proofs for previously published material are presented. In particular, we prove t…
math.RA2002
On a new approach to classification of associative algebras
Vladimir Dergachev
In this paper we explore a new method of analysis of associative algebras.
math.RA2000
On associative algebras with unity and Lie index 1
Vladimir Dergachev
We present a new method of analysis of associative algebras. This method bears a certain resemblance to the famous analysis of commutative -algebras in which an important role…
math.RT2000
Some properties of index of Lie algebras
Vladimir Dergachev
In this paper we prove several theorems about the behavior of index of Lie algebras derived from associative algebras under tensor products of underlying associative algebras.