In 2001 were ended by mathematical faculty OmSPU; qualification — the mathematics teacher and computer science. In 2005 has ended postgraduate study at OmSPU on a speciality "the Mathematical logic, algebra and the theory of numbers".
Algebra; the discrete mathematics; the theory of algorithms; elements of abstract and computer algebra; the mathematical logic. The experience of work Since 2001.
Directions of scientific researches: the Combinatory theory of semigroups.
Main publications:
Solomatin D. V., “Final free commutative semigroups with planar Caley graphs”, Mathematics and computer science: science and education, Interuniversity collection of proceedings: the Year-book, 3, Publishing house OmSPU, Omsk, 2003, 32–38 (Russian)
Solomatin D. V., “About an admissibility of some counts as Caley graphs of semigroups”, Mathematics and computer science: science and education, Interuniversity collection of proceedings: the Year-book, 4, Publishing house OmSPU, Omsk, 2004, 32–34 (Russian)
Solomatin D. V., “Direct products of the cyclic semigroups supposing a planar Caley graph”, Sib. Electronic mathematical news, 3 (2006), 238–252; http://semr.math.nsc.ru
D. V. Solomatin, “Direct products of cyclic semigroups admitting a planar Caley graph”, Sib. Èlektron. Mat. Izv., 3 (2006), 238–252
2.
D. V. Solomatin, “Semigroups with outerplanar Cayley graphs”, Sib. Èlektron. Mat. Izv., 8 (2011), 191–212
3.
D. V. Solomatin, “Planar varieties of semigroups”, Sib. Èlektron. Mat. Izv., 12 (2015), 232–247
4.
D. V. Solomatin, “Direct products of cyclic monoids admitting outerplanar Cayley graphs and their generalizations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2023, no. 4, 43–56
5.
D. V. Solomatin, “Researches of semigroups with planar Cayley graphs: results and problems”, Prikl. Diskr. Mat., 2021, no. 54, 5–57
6.
D. V. Solomatin, “The ranks of planarity for varieties of commutative semigroups”, Prikl. Diskr. Mat., 2016, no. 4(34), 50–64
7.
D. V. Solomatin, “About the finiteness of planarity ranks of semigroups varieties”, Herald of Omsk University, 2022, 17–24
8.
D. V. Solomatin, “Ranks of planarity for the variety of semigroups defined by the identity $~x^n\approx x~$”, Herald of Omsk University, 2020, 13–17
9.
D. V. Solomatin, “On ranks of planarity of nil-semigroups varieties”, Herald of Omsk University, 2019, 17–22elib.omsu.ru
10.
D. V. Solomatin, “The ranks of the planarity for varieties of semigroups”, Maltsev Meeting 2019 (Novosibirsk, August 19-23, 2019), Sobolev Institute of Mathematics SB RAS, 2019, 4math.nsc.ru
11.
D. V. Solomatin, “The ranks of planarity of semigroups varieties”, Herald of Omsk University, 24:4 (2019), 9–15
12.
D. V. Solomatin, “On ranks of the planarity of varieties of all idempotent semigroups, nilsemigroups, and semigroups with the permutation identity”, Herald of Omsk University, 2017, 11–21
13.
D. V. Solomatin, “On ranks of the planarity of semigroup varieties”, International workshop on graphs, semigroups, and semigroup acts celebrating the 75th birthday of Ulrich Knauer (Berlin, October 10 – 13, 2017), Institute of Mathematics Technical University Berlin, 2017, 22–24lif.univ-mrs.fr
14.
D. V. Solomatin, “The ranks of planarity for varieties of semigroups with the permutation identity”, Maltsev Meeting 2016 (Novosibirsk, November 21–25, 2016), Sobolev Institute of Mathematics, 2016, 200
15.
D. V. Solomatin, “The ranks of planarity for varieties of commutative semigroups”, International Conference on Algebra, Analysis and Geometry (Kazan, 26 Juni – 2 Juli 2016), Tatarstan Academy of Sciences, 2016, 318–319www.researchgate.net
16.
D. V. Solomatin, “Planar varieties of commutative semigroups”, Herald of Omsk University, 2015, 17–22
17.
D. V. Solomatin, “On the ranks of planarity for varieties of commutative semigroups”, International Conference MAL’TSEV MEETING dedicated to 75th anniversary of Yur˘ıL. Ershov (Novosibirsk, May 3–7, 2015), Sobolev Institute of Mathematics, 2015, 123
18.
P. O. Martynov, D. V. Solomatin, “Finite free commutative semigroups and semigroups with zero how admitting generalized outerplanar Cayley graphs”, Herald of Omsk University, 2014, 22–26
19.
D. V. Solomatin, “Free partially commutative nilpotent semigroups with planar Cayley graphs”, Herald of Omsk University, 2014, 28–36
20.
D. V. Solomatin, “Planar varieties of semigroups”, International Conference MAL’TSEV MEETING (Novosibirsk, November 10–13, 2014), Sobolev Institute of Mathematics, 2014, 137math.nsc.ru
21.
D. V. Solomatin, “On ranks of the planarity of varieties of commutative semigroups”, Conference on Mathematics and Mechanics, dedicated to the 135th anniversary of Tomsk State University and the 65th anniversary of the Faculty of Mechanics and Mathematics (Tomsk, October 02–04, 2013), Publishing House “Ivan Fedorov”, 2013, 35lib.tsu.ru
22.
D. V. Solomatin, “The Ranks of the Planarity Varieties of Commutative Semigroups”, Universal Journal of Applied Mathematics, 2013, 217–219www.hrpub.org
23.
L. M. Martynov, D. V. Solomatin, “Semigroups of residues with cyclic groups of invertible elements admitting planar Cayley graphs”, Herald of Omsk University, 2012, 57–62
24.
D. V. Solomatin, “Planarity ranks of the varieties of commutative monoids”, Herald of Omsk University, 2012, 41–45
25.
D. V. Solomatin, “The ranks of the planarity of varieties of commutative monoids”, International Conference MAL’TSEV MEETING (Novosibirsk, November 12–16, 2012), Sobolev Institute of Mathematics, 2012, 79
26.
D. V. Solomatin, “Planar hypergraphs of the multiplicative semigroup of residues”, Mathematics and Computer Science: Science and Education, 2011, 30–34www.researchgate.net
27.
D. V. Solomatin, “Das Kriterium der Planarität der Cayleygraphen 0-gerader Vereinigungen der nilpotenten Halbgruppen”, Maltsev Meeting 2010 (Novosibirsk, May 2-6, 2010), Sobolev Institute of Mathematics, 2010, 144math.nsc.ru
28.
D. V. Solomatin, “Stochastic algorithm for search a homeomorphic subgraph”, Conference: Stochastic models in biology and limit algebras (Omsk, 2-7 August 2010), Sobolev Institute of Mathematics SB RAS, 2010, 98–99
29.
D. V. Solomatin, “About the criteria of planarity for Cayley graphs of semigroups”, Mathematics and Computer Science: Science and Education, 2010, 44–46www.researchgate.net
30.
D. V. Solomatin, “Free partially commutative semigroups and the n-fan semilattices with planar Cayley graphs”, Mathematics and Computer Science: Science and Education, 2009, 35–38libc.omgpu.ru
31.
D. V. Solomatin, “Free partially commutative nilpotent semigroups with planar Cayley graphs”, Maltsev Meeting 2009 (Novosibirsk, August 24–28, 2009), Sobolev Institute of Mathematics, 2009, 166math.nsc.ru
32.
D. V. Solomatin, “Ordinal sums of rectangular semigroups admitting a planar Cayley graph”, Mathematics and Computer Science: Science and Education, 2008, 33–41www.researchgate.net
33.
D. V. Solomatin, “Finitely generated semigroups with one defining relation and identity admitting planar Cayley graph”, Mathematics and Computer Science: Science and Education, 2007, 42–48www.researchgate.net
34.
D. V. Solomatin, On commutative semigroups with planar Cayley graphs, PhD, OmSPU, Omsk, 2006
35.
D. V. Solomatin, On commutative semigroups with planar Calery graphs, dissertation abstract, OmSU, 2006
36.
D. V. Solomatin, “Direct products of cyclic monoids and semigroups with zero admitting planar Cayley graphs”, Mathematics and Computer Science: Science and Education, 2006, 51–64www.researchgate.net
37.
D. V. Solomatin, “Finite free commutative monoids admitting planar Cayley graph”, Herald of Omsk University, 2005, 36-38www.researchgate.net
38.
D. V. Solomatin, “Rassypchatye polugruppy s planarnymi grafami Keli”, Izvestiya Volgogradskogo gosudarstvennogo pedagogicheskogo universiteta, 2005, 27–31
39.
D. V. Solomatin, “Rassypchatye polugruppy s planarnymi grafami Keli”, Mezhdunarodnaya algebraicheskaya konferentsiya v Ekaterinburge, posvyaschennaya stoletiyu so dnya rozhdeniya P.G.Kontorovicha i 70-letiyu L.N.Shevrina (Ekaterinburg, 29 avgusta – 3 sentyabrya 2005 g.), Izd-vo UrGU, 2005, 14–15www.researchgate.net
40.
D. V. Solomatin, “On the admissibility of some graphs as Cayley graphs of semigroups”, Mathematics and Computer Science: Science and Education, 2004, 32–34www.researchgate.net
41.
D. V. Solomatin, “Finite free commutative semigroups with planar Cayley graphs”, Mathematics and Computer Science: Science and Education, 2003, 32-38www.researchgate.net
42.
D. V. Solomatin, “Comparison of outerplanarity and generalized outerplanarity properties for Cayley graphs of planar semigroups”, Prikl. Diskr. Mat., 2024, no. 64, 20–26
43.
D. V. Solomatin, “Proverka dopustimosti grafa v kachestve grafa Keli polugruppy”, Programma dlya EVM, zaregistrirovannaya v otraslevom fonde algoritmov i programm #50200600078 ot 02 fevralya 2006 goda, OFAP, 2006, 10
44.
D. V. Solomatin, “Opredelenie planarnosti grafov Keli pryamykh proizvedenii tsiklicheskikh polugrupp”, Programma dlya EVM, zaregistrirovannaya v otraslevom fonde algoritmov i programm #50200501609 ot 24 noyabrya 2005 goda, OFAP, 2005, 8
Presentations in Math-Net.Ru
1.
Новые проблемы алгебры и логики. Юбилейное 900-е заседание семинара V. N. Remeslennikov, A. N. Rybalov, A. N. Shevlyakov, D. V. Solomatin, L. M. Martynov, G. A. Noskov, A. V. Treyer, A. N. Zubkov, V. P. Il'ev, V. M. Gichev Omsk Algebraic Seminar November 12, 2015 16:00
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