3 papers
math.GR2020
Partially Commutative Groups And Lie Algebras
Evgeny Poroshenko, Evgeny Timoshenko
This is a survey of results on partially commutative groups and partially commutative algebras.
math.RA2013
On Universal Equivalence of Partially Commutative Metabelian Lie Algebras
Evgeny Poroshenko
In this paper, we consider partially commutative metabelian Lie algebras whose defining graphs are cycles. We show that such algebras are universally equivalent iff the correspondi…
math.RA2011
Universal equivalence of partially commutative metabelian Lie algebras
Evgeny Poroshenko, Evgeny Timoshenko
In this paper, we find a criterium for universal equivalence of partially commutative Lie algebras whose defining graphs are trees. Besides, we obtain bases for partially commutati…