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math.RA2026★ 5 cited
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…
math.FA2026
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…
math.RA2026
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…