01.01.06 (Mathematical logic, algebra, and number theory)
Phone:
+7 (8422) 32 32 47
E-mail:
Keywords:
variety of algebras, Leibniz algebra, Poisson algebras, identity, growth, numerical characteristics of algebras.
UDC:
512.572, 519.7
Subject:
Variety of Leibniz algebras, Poisson algebras, numerical characteristics of algebras.
Main publications:
Ratseev S. M., “Tozhdestva v mnogoobraziyakh, porozhdennykh algebrami verkhnetreugolnykh matrits”, Sibirskii matematicheskii zhurnal, 2011, № 2(52), 416–429
Ratseev S. M., “Chislovye kharakteristiki mnogoobrazii algebr Puassona”, Fundamentalnaya i prikladnaya matematika, 2016, № 2(21), 217–242
Ratseev S. M., “Ob algebrakh Li s ekstremalnymi svoistvami”, Sibirskii matematicheskii zhurnal, 2015, № 2(56), 444–454
Ratseev S. M., “Nekotorye obobscheniya teorii Shennona o sovershennykh shifrakh”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 8:1 (2015), 111–127
S. M. Ratseev, O. I. Cherevatenko, “O customary-prostranstvakh algebr Leibnitsa-Puassona”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 2020, ?
2019
2.
S. M. Ratseev, A. M. Rostov, “O protokolakh autentifikatsii s nulevym razglasheniem znaniya”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 19:1 (2019), 114–121
3.
S. M. Ratseev, A. M. Ivantsov, “O nekotorykh svoistvakh kriptograficheskikh khesh-funktsii”, Avtomatizatsiya protsessov upravleniya, 56:2 (2019), 53–58
2018
4.
S. M. Ratseev, O. I. Cherevatenko, “O primenenii ellipticheskikh krivykh v nekotorykh protokolakh elektronnogo golosovaniya”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 18:1 (2018), 62-68
2017
5.
S. M. Ratseev, O. I. Cherevatenko, “O simmetricheskikh mnogochlenakh spetsialnogo vida”, Nauchnye vedomosti BelGU. Matematika. Fizika, 255:6 (2017), 16–23
6.
S. M. Ratseev, O. I. Cherevatenko, “Chislovye kharakteristiki algebr Leibnitsa–Puassona”, Chebyshevskii sb., 18:1 (2017), 143–159
7.
S. M. Ratseev, O. I. Cherevatenko, “Ob optimalnykh kodakh autentifikatsii na osnove konechnykh polei”, Nauchnye vedomosti BelGU. Matematika. Fizika, 262:13 (2017), 38–41
8.
S. M. Ratseev, A. M. Ivantsov, “O primenenii ellipticheskikh krivykh v nekotorykh protokolakh autentifikatsii i raspredeleniya klyuchei”, Avtomatizatsiya protsessov upravleniya, 48:2 (2017), 35–40
9.
S. M. Ratseev, A. M. Ivantsov, “O primenenii ellipticheskikh krivykh v nekotorykh proveryaemykh skhemakh razdeleniya sekreta”, Avtomatizatsiya protsessov upravleniya, 49:3 (2017), 31–36
10.
S. M. Ratseev, A. S. Korsunskii, D. I. Shlykov, “O nadezhnykh i vysokoskorostnykh simmetrichnykh shifrakh”, Tekhnicheskie nauki - ot teorii k praktike: sb. st. po mater. LXIX mezhdunar. nauch.-prakt. konf. # 4(64). Novosibirsk: SibAK, 2017, 12–19
11.
S. M. Ratseev, A. M. Rostov, “Metody uskoreniya i usovershenstvovaniya protokola autentifikatsii s nulevym razglasheniem na osnove zadachi o nakhozhdenii gamiltonova tsikla v grafe”, Nauchnye vedomosti BelGU. Ekonomika. Informatika., 265:16 (2017), 131-137
12.
S. M. Ratseev, E. E. Bespalova, P. V. Burankina, M. A. Gusarova, “O primenenii konechnykh polei v nekotorykh sovershennykh kriptosistemakh”, Vestnik Sibirskogo gosudarstvennogo universiteta telekommunikatsii i informatiki, 2017, no. 4, 35–44
2016
13.
S. M. Ratseev, “Proper $\mathrm{T}$-ideals of poisson algebras with extreme properties”, Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 71:6 (2016), 224–232
14.
S. M. Ratseev, O. I. Cherevatenko, “Codimensions of varieties of Poisson algebras with Lie nilpotent commutants”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016), 241–244
2019
15.
S. M. Ratseev, “Numerical characteristics of varieties of Poisson algebras”, J. Math. Sci., 237:2 (2019), 304–322
2016
16.
S. M. Ratseev, V. M. Ratseev., “Postroenie sovershennykh imitostoikikh shifrov na osnove kombinatornykh ob'ektov”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya., 2016, no. 1, 46–50
2015
17.
S. M. Ratseev, “On minimal Poisson algebras”, Russian Math. (Iz. VUZ), 59:11 (2015), 54–61
2016
18.
S. M. Ratseev, “On minimal Leibniz algebras with nilpotent commutator subalgebra”, St. Petersburg Math. J., 27:1 (2016), 125–136
2015
19.
S. M. Ratseev, “Nekotorye obobscheniya teorii Shennona o sovershennykh shifrakh”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 8:1 (2015), 111–127 (cited: 2) (cited: 1) (cited: 2)
20.
S. M. Ratseev, “Lie algebras with extremal properties”, Siberian Math. J., 56:2 (2015), 358–366 (cited: 2)
21.
S. M. Ratseev, “Complexity Functions of Varieties of Leibniz Algebras with Nilpotent Commutator Subalgebra”, Math. Notes, 98:3 (2015), 525–528
22.
S. M. Ratseev, O. I. Cherevatenko, “Funktsii slozhnosti nekotorykh algebr Leibnitsa-Puassona”, Sibirskie elektronnye matematicheskie izvestiya, 12 (2015), 500–507 (cited: 1) (cited: 1)
23.
S. M. Ratseev, V. M. Ratseev, “O shifrakh, ne rasprostranyayuschikh iskazhenii”, Nauchnye vedomosti BelGU. Matematika. Fizika., 220:23 (2015), 128–140
2014
24.
S. M. Ratseev, “Necessary and sufficient conditions of polynomial growth of varieties of Leibniz–Poisson algebras”, Russian Math. (Iz. VUZ), 58:3 (2014), 26–30 (cited: 2)
25.
S. M. Ratseev, “O teoreticheski stoikikh shifrakh”, Sistemy i sredstva informatiki, 24:1 (2014), 61–72 (cited: 1) (cited: 1)
26.
S. M. Ratseev, “On Construction of Perfect Ciphers”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(34) (2014), 192–199
27.
S. M. Ratseev, “Correlation of Poisson Algebras and Lie Algebras in the Language of Identities”, Math. Notes, 96:4 (2014), 538–547 (cited: 4) (cited: 1) (cited: 1) (cited: 2)
28.
S. M. Ratseev, O. I. Cherevatenko, “On Perfect Ciphers Based on Orthogonal Tables”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:2 (2014), 66–73
29.
S. M. Ratseev, “On Poisson customary polynomial identities”, Izv. Saratov. Univ. Mat. Mekh. Inform., 14:2 (2014), 150–155
30.
S. M. Ratseev, O. I. Cherevatenko, “On Leibniz–Poisson Special Polynomial Identities”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2(35) (2014), 9–15
31.
S. M. Ratseev, N. P. Panov, “O postroenii sovershennykh shifrov zameny s neogranichennym klyuchom”, Nauchnye vedomosti BelGU. Matematika. Fizika., 183:7 (2014), 84–91
32.
S. M. Ratseev, “O minimalnykh algebrakh Leibnitsa-Puassona polinomialnogo rosta”, Dalnevost. matem. zhurn., 14:2 (2014), 248–256 (cited: 1)
33.
S. M. Ratseev, “Ob assotsiativnykh algebrakh slabogo rosta”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 118:7 (2014), 70–74
34.
S. M. Ratseev, “Conditions for the existence of perfect ciphers with a fixed set of parameters”, Prikl. Diskr. Mat. Suppl., 2014, no. 7, 54–56
35.
S. M. Ratseev, O. I. Cherevatenko, “On authentication codes based on orthogonal tables”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 4(37) (2014), 178–186
2013
36.
S. M. Ratseev, “On varieties of Leibniz–Poisson algebras with the identity {x,y}{z,t}=0”, Zhurn. SFU. Ser. Matem. i fiz., 6:1 (2013), 97–104 (cited: 5) (cited: 2)
37.
S. M. Ratseev, “O sovershennykh imitostoikikh shifrakh zameny s neogranichennym klyuchom”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 110:9/1 (2013), 42–48 (cited: 5) (cited: 7)
38.
S. M. Ratseev, O. I. Cherevatenko, “Eksponenty nekotorykh mnogoobrazii algebr Leibnitsa-Puassona”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 104:3 (2013), 42–52 (cited: 5) (cited: 4)
39.
S. M. Ratseev, “Poisson algebras of polynomial growth”, Siberian Math. J., 54:3 (2013), 555–565 (cited: 7) (cited: 6) (cited: 6) (cited: 8)
40.
S. M. Ratseev, O. I. Cherevatenko, “O nekotorykh mnogoobraziyakh algebr Leibnitsa-Puassona s ekstremalnymi svoistvami”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 22:2 (2013), 57–59 (cited: 2) (cited: 1)
41.
S. M. Ratseev, “Ob optimalnykh kodakh autentifikatsii”, Sistemy i sredstva informatiki, 23:1 (2013), 53–57 (cited: 4) (cited: 4)
42.
S. M. Ratseev, “O nekotorykh algebrakh Puassona s ekstremalnymi svoistvami”, Nauchnye vedomosti BelGU. Matematika. Fizika., 148:5 (2013), 107–110
43.
S. M. Ratseev, “Otsenki rosta nekotorykh mnogoobrazii algebr Puassona”, Nauchnye vedomosti BelGU. Matematika. Fizika., 154:11 (2013), 93–101
44.
S. M. Ratseev, “Ob eksponentakh nekotorykh mnogoobrazii lineinykh algebr”, Prikladnaya diskretnaya matematika, 21:3 (2013), 32–34 (cited: 2) (cited: 1)
45.
S. M. Ratseev, O. I. Cherevatenko, “On metabelian varieties of Leibniz–Poisson algebras”, IIGU Ser. Matematika, 6:1 (2013), 72–77
2012
46.
S. M. Ratseev, “About perfect imitation resistant ciphers”, Prikl. Diskr. Mat., 2012, no. 3, 41–46
47.
S. M. Ratseev, “Equivalent conditions of polynomial growth of a variety of Poisson algebras”, Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 67:5-6 (2012), 195–199 (cited: 6) (cited: 6)
48.
S. M. Ratseev, O. I. Cherevatenko, “Algoritmy razbieniya stroki na leksemy v yazyke programmirovaniya Si”, Vestnik adygeiskogo gosudarstvennogo universiteta. Seriya “Estestvenno-matematicheskie i tekhnicheskie nauki”, 110:4 (2012), 180–190 (cited: 1)
49.
S. M. Ratseev, O. I. Cherevatenko, “On the nilpotent Leibniz–Poisson algebras”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 4(29) (2012), 207–211
50.
S. M. Ratseev, “Commutative Leibniz–Poisson algebras of polynomial growth”, Vestnik SamGU, 2012, no. 3/1(94), 54–65
2011
51.
S. M. Ratseev, “Growth in Poisson algebras”, Algebra and Logic, 50:1 (2011), 46–61 (cited: 4) (cited: 2)
52.
S. M. Ratseev, “Identities in the varieties generated by the algebras of upper triangular matrices”, Siberian Math. J., 52:2 (2011), 329–339 (cited: 2)
53.
S. M. Ratseev, “The growth of varieties generated by upper-triangular matrices algebras”, Moscow University Mathematics Bulletin, 2011, no. 1, 50–51
54.
S. M. Ratseev, “Growth of some varieties of Leibniz–Poisson algebras”, Serdica Math. J., 37:4 (2011), 331–340
2010
55.
S. M. Ratseev, “Otsenki rosta mnogoobrazii algebr Leibnitsa s nilpotentnym kommutantom”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 78:4 (2010), 65–72 (cited: 6)
2008
56.
S. M. Ratseev, “O roste nekotorykh assotsiativnykh algebr i algebr Leibnitsa”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 65:6 (2008), 177–184 (cited: 1)
2007
57.
S. M. Ratseev, “The Growth of Varieties of Leibniz Algebras with Nilpotent Commutator Subalgebra”, Math. Notes, 82:1 (2007), 96–103 (cited: 3) (cited: 4)
58.
S. M. Ratseev, “Konechnaya baziruemost nekotorykh mnogoobrazii algebr Leibnitsa”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region, 33:6 (2007), 12–16
2006
59.
S. M. Ratseev, “Rost nekotorykh mnogoobrazii algebr Leibnitsa”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 46:6 (2006), 70–77 (cited: 11)
60.
S. M. Ratseev, “Rost i kodlina prostranstv spetsialnogo vida mnogoobrazii algebr Puassona”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region, 26:5 (2006), 125–135
2005
61.
L. E. Abanina, S. M. Ratseev, “Mnogoobrazie algebr Leibnitsa, svyazannoe so standartnymi tozhdestvami”, Vestnik Samarskogo gosudarstvennogo universiteta. Estestvennonauchnaya seriya, 40:6 (2005), 36–50 (cited: 7)
2004
62.
S. M. Ratseev, “Mnogoobrazie algebr Leibnitsa s pochti konechnoi kodlinoi”, Uchenye zapiski Ulyanovskogo gosudarstvennogo universiteta. Fundamentalnye problemy matematiki i mekhaniki, 14:1 (2004), 34–45
2020
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