101 citations · 126 across the 18 of their papers we have counts for
21 papers
On linear preservers of permanental rank
Alexander Guterman, Igor Spiridonov
Let denote the set of square matrices over a field of characteristic different from two. The permanental rank of…
Integrability of matrices
Suren Danielyan, Alexander Guterman, Elena Kreines +1
The concepts of differentiation and integration for matrices are known. As far as each matrix is differentiable, it is not clear a priori whether a given matrix is integrable or no…
Maximal Generalized Rank in Graphical Matrix Spaces
Alexander Guterman, Roy Meshulam, Igor Spiridonov
In this note we prove two extensions of a recent combinatorial characterization due to Li, Qiao, Wigderson, Wigderson and Zhang (arXiv:2206.04815) of the maximal dimension of bound…
Roots and Critical Points of Polynomials over Cayley--Dickson Algebras
Adam Chapman, Alexander Guterman, Solomon Vishkautsan +1
We study the roots of polynomials over Cayley--Dickson algebras over an arbitrary field and of arbitrary dimension. For this purpose we generalize the concept of spherical roots fr…
Algebras of slowly growing length
Alexander Guterman, Dmitry Kudryavtsev
We investigate the class of finite dimensional not necessary associative algebras that have slowly growing length, that is, for any algebra in this class its length is less than or…
Steady growth of length function and Malcev algebras
Alexander Guterman, Dmitry Kudryavtsev
We introduce and investigate the algebras of steadily growing length, that is the class of algebras, where the length is bounded by a linear function of the dimension. In particula…