Theory of Paradeterminants triangular matrix and its applications, kombinatory of multisets.
Main publications:
Zatorskii R. A., “O paradeterminantakh i parapermanentakh treugolnykh matrits”, Matematicheskie studii, 17:1 (2002), 3–17
Zatorskii R. A., “Ob odnom algoritme perechisleniya $m$-perestanovok na multimnozhestvakh”, Matematicheskie studii, 17:2 (2002), 215–219
Zatorskii R. A., “Opredeliteli treugolnykh matrits i traektorii na diagrammakh Ferre”, Matematicheskie zametki, 72:6 (2002), 834–852
Zatorskii R. A., “Podschet $m$-podmultimnozhestv cherez ikh vtorichnye spetsifikatsii”, pod red. K. A. Rybnikova, Kombinatornyi analiz, 7, MGU, M., 1986, 136–145
Zatorsky R. A., “Theory of paradeterminants and its applications”, Algebra and Diskrete Mathematics, 2007, № 1, 109–138
Svitlana Steflyuk, Roman Zatorsky, “Parafunctions of triangular matrices and $m$-ary partitions of numbers”, Algebra Discrete Math., 21:1 (2016), 144–152
R. A. Zatorskii, A. R. Malyarchuk, “Generalization of the Ballot Numbers”, Mat. Zametki, 90:4 (2011), 527–529; Math. Notes, 90:4 (2011), 506–508
2009
4.
V. E. Tarakanov, R. A. Zatorskii, “A Relationship between Determinants and Permanents”, Mat. Zametki, 85:2 (2009), 292–299; Math. Notes, 85:2 (2009), 267–273
R. A. Zatorskii, A. R. Malyarchuk, “Triangular Matrices and Combinatorial Inversion Formulas”, Mat. Zametki, 85:1 (2009), 12–21; Math. Notes, 85:1 (2009), 11–19
R. A. Zatorskii, “Determinants of Triangular Matrices and Trajectories on Ferre Diagrams”, Mat. Zametki, 72:6 (2002), 834–852; Math. Notes, 72:6 (2002), 768–783
O. D. Artemovych, V. M. Bondarenko, M. G. Drushlyak, R. I. Grigorchuk, L. A. Kurdachenko, T. D. Lukashova, V. S. Monakhov, A. S. Oliynyk, B. V. Oliynyk, A. P. Petravchuk, M. V. Pratsiovytyi, A. A. Pypka, N. N. Semko, A. N. Skiba, I. Ya. Subbotin, Ya. P. Sysak, R. A. Zatorskii, A. V. Zhuchok, Yu. V. Zhuchok, “Fedir Mykolayovych Lyman (22.02.1941 – 13.06.2020)”, Algebra Discrete Math., 30:1 (2020), C–E
9.
O. D. Artemovych, A. Ballester-Bolinches, V. A. Bovdi, M. R. Dixon, F. de Giovanni, R. I. Grigorchuk, W. Holubowski, F. M. Lyman, P. Longobardi, M. Maj, V. S. Monakhov, A. S. Oliynyk, B. V. Oliynyk, J. Otal, M. A. Perestyuk, A. P. Petravchuk, M. V. Pratsiovytyi, A. A. Pypka, A. Russo, A. M. Samoilenko, N. N. Semko, A. N. Skiba, I. Ya. Subbotin, G. Vincenzi, R. A. Zatorskii, E. I. Zel'manov, A. V. Zhuchok, Yu. V. Zhuchok, “Leonid A. Kurdachenko (dedicated to 70th Birthday)”, Algebra Discrete Math., 29:1 (2020), C–H
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