O PI-koltsakh i polupervichnykh koltsakh, imeyuschikh tochnyi modul s razmernostyu Krullya. Algebra i logika, 36(1997), 5, 562–572.
Recursive MDS-codes and pseudogeometries (with E. Couselo, S. Gonzalez, A. A. Nechaev). Lecture Notes in Computer Science, #1719, Marc Fossorier, Hideki Imai, Shu Lin, Alain Poli (Eds), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 13 Int. Symp. AAECC'13, Honolulu, Hawaii, USA, November 1999, Proceedings, 211–220.
Neassotsiativnye koltsa Galua (s S. Gonsalesom, K. Martines, A. A. Nechaevym, I. F. Rua). Diskr. mat., 14, # 4, 117–132 (2002).
V. A. Artamonov, S. Chakrabarti, Sh. K. Tiwari, V. T. Markov, “Algebraic properties of subquasigroups and construction of finite quasigroups”, Algebra Logika, 61:4 (2022), 375–400
2020
2.
V. Markov, A. V. Mikhalev, E. S. Kislitsyn, “Non-associative structures in homomorphic encryption”, Fundam. Prikl. Mat., 23:2 (2020), 209–215; J. Math. Sci., 262:5 (2022), 735–739
V. T. Markov, A. A. Tuganbaev, “Centrally essential rings which are not necessarily unital or associative”, Diskr. Mat., 30:4 (2018), 42–47; Discrete Math. Appl., 29:4 (2019), 215–218
V. T. Markov, A. V. Mikhalev, A. A. Nechaev, “Nonassociative algebraic structures in cryptography and coding”, Fundam. Prikl. Mat., 21:4 (2016), 99–124; J. Math. Sci., 245:2 (2020), 178–196
A. S. Kuzmin, V. T. Markov, A. A. Mikhalev, A. V. Mikhalev, A. A. Nechaev, “Cryptographic algorithms on groups and algebras”, Fundam. Prikl. Mat., 20:1 (2015), 205–222; J. Math. Sci., 223:5 (2017), 629–641
C. García Pillado, S. González, V. T. Markov, C. Martínez, “Non-Abelian group codes over an arbitrary finite field”, Fundam. Prikl. Mat., 20:1 (2015), 17–22; J. Math. Sci., 223:5 (2017), 504–507
S. Yu. Katyshev, V. T. Markov, A. A. Nechaev, “Application of non-associative groupoids to the realization of an open key distribution procedure”, Diskr. Mat., 26:3 (2014), 45–64; Discrete Math. Appl., 25:1 (2015), 9–24
E. Couselo, S. González, V. T. Markov, C. Martínez, A. A. Nechaev, “Ideal representations of Reed–Solomon and Reed–Muller codes”, Algebra Logika, 51:3 (2012), 297–320; Algebra and Logic, 51:3 (2012), 195–212
C. García Pillado, S. González, V. T. Markov, C. Martínez, A. A. Nechaev, “When are all group codes of a noncommutative group Abelian (a computational approach)?”, Fundam. Prikl. Mat., 17:2 (2012), 75–85; J. Math. Sci., 186:4 (2012), 578–585
V. T. Markov, A. V. Mikhalev, A. V. Gribov, P. A. Zolotykh, S. S. Skazhenik, “Quasigroups and rings in coding theory and cryptography”, Prikl. Diskr. Mat., 2012, no. 4(18), 31–52
V. T. Markov, A. A. Nechaev, S. Skazhenik, E. O. Tveritinov, “Pseudogeometries with clusters and an example of a recursive $[4,2,3]_{42}$-code”, Fundam. Prikl. Mat., 14:4 (2008), 181–192; J. Math. Sci., 163:5 (2009), 563–571
A. S. Kuz'min, V. T. Markov, A. A. Nechaev, V. A. Shishkin, A. B. Shishkov, “Bent and Hyper-bent Functions over a Field of $2^l$ Elements”, Probl. Peredachi Inf., 44:1 (2008), 15–37; Problems Inform. Transmission, 44:1 (2008), 12–33
A. S. Kuz'min, V. T. Markov, A. A. Nechaev, A. B. Shishkov, “Approximation of Boolean functions by monomial functions”, Diskr. Mat., 18:1 (2006), 9–29; Discrete Math. Appl., 16:1 (2006), 7–28
V. T. Markov, V. V. Tenzina, “On $\Sigma$-nilpotent ideals of topological PI-rings”, Fundam. Prikl. Mat., 12:2 (2006), 111–118; J. Math. Sci., 149:2 (2008), 1113–1118
S. González, E. Couselo, V. T. Markov, A. A. Nechaev, “Group codes and their nonassociative generalizations”, Diskr. Mat., 16:1 (2004), 146–156; Discrete Math. Appl., 14:2 (2004), 163–172
S. González, V. T. Markov, K. Martines, A. A. Nechaev, I. F. Rua, “Nonassociative Galois rings”, Diskr. Mat., 14:4 (2002), 117–132; Discrete Math. Appl., 12:6 (2002), 519–606
S. González, E. Couselo, V. Markov, A. Nechaev, “The parameters of recursive MDS-codes”, Diskr. Mat., 12:4 (2000), 3–24; Discrete Math. Appl., 10:5 (2000), 433–453
V. T. Markov, A. A. Nechaev, “Radicals of semiperfect rings related to idempotents”, Fundam. Prikl. Mat., 6:1 (2000), 293–298
1999
20.
A. S. Kuz'min, V. L. Kurakin, V. T. Markov, A. V. Mikhalev, A. A. Nechaev, “Codes and recurrences over finite rings and modules”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 5, 18–31
S. González, E. Couselo, V. T. Markov, A. A. Nechaev, “Recursive MDS-codes and recursively differentiable quasigroups”, Diskr. Mat., 10:2 (1998), 3–29; Discrete Math. Appl., 8:3 (1998), 217–245
K. I. Beidar, V. T. Markov, “A semiprime $PI$-ring having an exact module with a Krull dimension is a Goldie ring”, Uspekhi Mat. Nauk, 48:6(294) (1993), 141–142; Russian Math. Surveys, 48:6 (1993), 158
V. T. Markov, “On matrix algebras with two generators and on embedding $PI$-algebras”, Uspekhi Mat. Nauk, 47:4(286) (1992), 199–200; Russian Math. Surveys, 47:4 (1992), 216–217
K. I. Beidar, V. N. Latyshev, V. T. Markov, A. V. Mikhalev, L. A. Skornyakov, A. A. Tuganbaev, “Associative rings”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 22 (1984), 3–115; J. Soviet Math., 38:3 (1987), 1855–1929
V. T. Markov, A. V. Mikhalev, L. A. Skornyakov, A. A. Tuganbaev, “Rings of endomorphisms of modules and lattices of submodules”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 21 (1983), 183–254; J. Soviet Math., 31:3 (1985), 3005–3051
V. T. Markov, A. V. Mikhalev, L. A. Skornyakov, A. A. Tuganbaev, “Modules”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 19 (1981), 31–134; J. Soviet Math., 23:6 (1983), 2642–2707
V. T. Markov, “On the dimension of noncommutative affine algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 37:2 (1973), 284–288; Math. USSR-Izv., 7:2 (1973), 281–285
M. M. Glukhov, M. V. Zaicev, A. S. Kuzmin, V. N. Latyshev, V. T. Markov, A. V. Mikhalev, A. A. Mikhalev, I. A. Chubarov, “Alexandr Alexandrovich Nechaev (7.8.1945–14.11.2014)”, Fundam. Prikl. Mat., 20:1 (2015), 3–7; J. Math. Sci., 223:5 (2017), 495–497
A. V. Mikhalev, M. A. Chebotar, V. T. Markov, “Konstantin Igorevich Beidar (1951–2004)”, Fundam. Prikl. Mat., 12:2 (2006), 3–15; J. Math. Sci., 149:2 (2008), 1039–1046