14 citations · 49 across the 31 of their papers we have counts for
5 papers · 1 filter
Lie algebras and coherence
Dessislava H. Kochloukova
We determine some sufficient conditions for the split extension of two free finitely generated non-abelian Lie algebras over an infinite field to…
HNN extensions of Lie superalgebras
Dessislava H. Kochloukova, Victor Petrogradsky
We explicitly describe the structure of HNN extensions of Lie superalgebras. We specify their bases. Moreover, we prove that the HNN extension is a direct sum of two subalgebras: o…
The Fibonacci Lie algebra is not finitely presented
Dessislava H. Kochloukova, Victor Petrogradsky
We prove that the Fibonacci Lie algebra and the related just infinite self-similar Lie algebra are not finitely presented.
On Self-Similar Lie Algebras and Virtual Endomorphisms
Vyacheslav Futorny, Dessislava H. Kochloukova, Said N. Sidki
We introduce the notion of virtual endomorphisms of Lie algebras and use it as an approach for constructing self-similarity of Lie algebras. This is done in particular for a class…
Subdirect sums of Lie algebras
Dessislava H. Kochloukova, Conchita Martínez-Pérez
We show Lie algebra versions of some results on homological finiteness properties of subdirect products of groups, including a version of the 1-2-3 Theorem.