3 papers
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…
math.OA2025
On preservers of strong Birkhoff-James orthogonality between -algebras
Bojan Kuzma, Srdjan Stefanović, Ryotaro Tanaka
It is shown that every linear strong Birkhoff-James isomorphism between unital -algebras is a -isomorphism followed by a unitary multiplication. Moreover, as a partial exte…
math.CO2024
On the diameter of a super-order-commuting graph
Janko Bračič, Bojan Kuzma
We answer a question about the diameter of an order-super-commuting graph on a symmetric group by studying the number-theoretical concept of -complete sequences of primes in ari…