5 citations · 6 across the 6 of their papers we have counts for
6 papers
Relation graphs of the sedenion algebra
Alexander Guterman, Svetlana Zhilina
Let denote the algebra of the sedenions, and denote its orthogonality graph. We observe that any pair of zero divisors in produces a dou…
Poset-refined majorization relations
Alexander E. Guterman, Michael M. Wolf
Several classical majorization relations for sums or products of matrices involve a majorizing vector of perfectly aligned eigenvalues or singular values. By relaxing the order of…
Additive preservers of permanent rank
Alexander Guterman, Bojan Kuzma, Leonid Ovchinnikov
The permanent rank of a matrix is the size of the maximal square submatrix in which has a nonzero permanent. In this paper we characterize additive transformations whic…
Birkhoff-James classification of norm's properties
Alexander Guterman, Bojan Kuzma, Sushil Singla +1
For an arbitrary normed space over a field , we define the directed graph induced by Birkhoff-James orthogona…
On the lengths of Okubo algebras
Alexander Guterman, Svetlana Zhilina
We compute the lengths of two particular cases of (possibly non-unital) composition algebras, namely, standard composition algebras and Okubo algebras over an arbitrary field $\mat…
On the lengths of descendingly flexible and descendingly alternative algebras
Alexander Guterman, Svetlana Zhilina
We introduce the classes of descendingly flexible and descendingly alternative algebras over an arbitrary field . We suggest a new method based on the sequence of diffe…