59 citations · 318 across the 39 of their papers we have counts for
44 papers
The Hua identity implies alternativity
Pasha Zusmanovich
The well-known Hua identity holds in any associative division ring. We prove, in a sense, a converse: if a (nonassociative) ring with…
A -first Whitehead Lemma for Jordan algebras
Arezoo Zohrabi, Pasha Zusmanovich
We compute -derivations of simple Jordan algebras with values in irreducible bimodules. They turn out to be either ordinary derivations (), or scalar multiples of the iden…
A variant of Baer's theorem
Pasha Zusmanovich
We provide a variant of Baer's theorem about isomorphism of endomorphism rings of vector spaces over division rings, where the full endomorphism rings are replaced by some subrings…
A -first Whitehead Lemma
Arezoo Zohrabi, Pasha Zusmanovich
We prove that -derivations of a simple finite-dimensional Lie algebra over a field of characteristic zero, with values in a finite-dimensional module, are either inner derivatio…
On regular Lie algebras
Pasha Zusmanovich
We study so called regular Lie algebras, i.e. Lie algebras in which each nonzero element is regular. We make a connection with an open problem whether any element of reduced trace…
On contact brackets on the tensor product
Pasha Zusmanovich
We study the behavior of contact brackets on the tensor product of two algebras, in particular, address the question of Martínez and Zelmanov about extension of a contact bracket o…