13 citations · 39 across the 25 of their papers we have counts for
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Invertible and nilpotent matrices over antirings
David Dolžan, Polona Oblak
In this paper we characterize invertible matrices over an arbitrary commutative antiring S and find the structure of GL_n (S). We find the number of nilpotent matrices over an enti…
On pairs of commuting nilpotent matrices
Tomaž Košir, Polona Oblak
Let be a nilpotent matrix and suppose that its Jordan canonical form is determined by a partition . Then it is known that its nilpotent commutator is an irreducible va…
The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix
Polona Oblak
We study the set $\partition{\nb}$ of all possible Jordan canonical forms of nilpotent matrices commuting with a given nilpotent matrix . We describe $\partition{\nb}$ in the sp…
Jordan forms for mutually annihilating nilpotent pairs
Polona Oblak
In this paper we completely characterize all possible pairs of Jordan canonical forms for mutually annihilating nilpotent pairs, i.e. pairs of nilpotent matrices such that…