V. Kirichenko

most citedThe max-plus algebra of exponent matrices of tiled orders

4 citations · 4 across the 2 of their papers we have counts for

collaborators

2 papers

math.RA2017★ 4 cited

The max-plus algebra of exponent matrices of tiled orders

Mikhailo Dokuchaev, Vladimir V. Kirichenko, Ganna Kudryavtseva +1

An exponent matrix is an $n \times n$ matrix $A = (a_{ij})$ over $N^{0}$ satisfying (1) $a_{ii} = 0$ for all $i = 1, \dots, n$ and (2) $a_{ij} + a_{j k} \geq a_{ik}$ for all pairwise…

math.GR2008

On the Brauer monoid for finite fields

V. V. Kirichenko, B. V. Novikov

The Brauer monoid is studied by the notion of 0-cohomology. We investigate the impact of invertible elements of modifications on the structure of the Brauer monoid, especially for…