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Victor Timofeevich Markov (21.06.1948 – 15.07.2019). (English. Russian original) Zbl 1493.01038

J. Math. Sci., New York 262, No. 5, 592-602 (2022); translation from Fundam. Prikl. Mat. 23, No. 2, 3-16 (2020).
With list of selected works (103 items).

MSC:

01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Markov, Viktor Timofeevich
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[1] Markov, VT, Affine rings of dimension one, Sib. Mat. Zh., 13, 1, 216-217 (1972) · Zbl 0242.16015 · doi:10.1007/BF00967650
[2] Markov, VT, Two remarks on the localization of Goldie, Sib. Mat. Zh., 13, 3, 604-611 (1972) · Zbl 0251.16002
[3] Markov, VT, The dimension of noncommutative affine algebras, Izv. Akad. Nauk SSSR, Ser. Mat., 37, 2, 284-288 (1973) · Zbl 0255.16007
[4] Markov, VT, Complete rings of quotients of irredundant subdirect products, Mat. Issled., 9, 237-245 (1974) · Zbl 0311.16001
[5] V. T. Markov, Localizations of Noncommutative Rings and Their Applications [in Russian], Diss. Abstract of a Ph.D. Thesis, Moscow (1974).
[6] V. T. Markov, Localizations of Noncommutative Rings and Their Applications [in Russian], Ph.D. Thesis, Moscow (1975).
[7] Markov, VT, Primary decomposition and localization in rings that have a right Krull dimension, Tr. Semin. Petrovskogo, 1, 155-161 (1975) · Zbl 0317.16015
[8] Markov, VT, Rings of quotients of semiprime PI-rings, and irreducible subdirect products, Usp. Mat. Nauk, 30, 4, 253-254 (1975) · Zbl 0311.16002
[9] Markov, VT, Systems of generating T-ideals of finitely generated free algebras, Algebra Logika, 5, 587-598 (1979)
[10] Markov, VT, Some examples of finitely generated algebras, Usp. Mat. Nauk, 36, 5, 185-186 (1981) · Zbl 0475.16006
[11] Markov, VT, On B-rings with a polynomial identity, Tr. Semin. Petrovskogo, 7, 232-238 (1981) · Zbl 0497.16008
[12] Golubchik, IZ; Markov, VT, Localization dimension of PI rings, Tr. Semin. Petrovskogo, 6, 39-46 (1981) · Zbl 0467.16026
[13] V. T. Markov, A. V. Mikhalev, L. A. Skornyakov, and A. A. Tuganbaev, “Modules,” Itogi Nauki Tekh. Ser. Algebra. Topol. Geom., 19, 31-134, 276 (1981). · Zbl 0474.16001
[14] V. T. Markov, “Cosemiprime classes of modules,” Abelian Groups Modules, 3 (1982).
[15] V. T. Markov, A. V. Mikhalev, L. A. Skornyakov, and A. A. Tuganbaev, “Rings of endomorphisms of modules and lattices of submodules,” Itogi Nauki Tekh. Ser. Algebra. Topol. Geom., 21, 183-254 (1983). · Zbl 0566.16018
[16] K. I. Beidar, V. N. Latyshev, V. T. Markov, A. V. Mikhalev, L. A. Skornyakov, and A. A. Tuganbaev, “Associative rings,” Itogi Nauki Tekh. Ser. Algebra. Topol. Geom., 22, 3-115, 267 (1984). · Zbl 0564.16002
[17] V. T. Markov and G. V. Fetisov, “A statistical method of revealing short-term instability of X-ray diffractometers,” Sov. Phys. Crystallography, 31, No. 5, 504-508 (1986); Eng. transl.: Crystallography, 31, No. 5, 851-858 (1986).
[18] Fetisov, GV; Markov, VT, A method for checking X-ray diffractometer stability and its application, J. Appl. Crystallography, 20, 289-294 (1987) · doi:10.1107/S0021889887086655
[19] Fetisov, GV; Markov, VT; Zastenker, IB, An automatic-measurement and analysis of X-ray-intensity distribution in scanned volume for the scanning parameters selection, Sov. Phys. Crystallography, 32, 1, 13-15 (1987)
[20] G. V. Fetisov, V. T. Markov, I. B. Zastenker, and N. M. Ilyasova, “Estimation of stability of X-ray diffractometers,” Pribory Tekhnika Eksper., 5, 181-184 (1987); Eng. transl.: Instrum. Experiment. Tech., 30, No. 5, 1220-1223 (1987).
[21] Markov, VT, Exact Noetherian modules over PI-rings, Abelian Groups Modules, 8, 97-103 (1989)
[22] Markov, VT, On the representability of finitely generated PI-algebras by matrices, Moscow Univ. Math. Bull., 44, 2, 23-27 (1989) · Zbl 0711.16017
[23] Aslanov, LA; Fetisov, GV; Laktionov, AV; Markov, VT; Chernyshev, VV; Zhukov, SG; Nesterenko, AP; Chulichkov, AI; Chulichkova, NM, Precision X-ray Diffraction Experiment (1989), Moscow: Moscow Univ. Press, Moscow
[24] Aslanov, LA; Markov, VT, Crystal-chemical model of atomic interactions. 3. Convex polyhedra with regular faces, Acta Crystallograph. Sec. A. Found. Crystallography, 45, 661-671 (1989) · Zbl 1191.82054 · doi:10.1107/S0108767389005027
[25] G. V. Fetisov, N. M. Ilyasova, S. G. Zhukov, A. V. Laktionov, and V. T. Markov, “A method of X-ray-diffraction investigation of split single-crystals,” Sov. Phys. Crystallography, 34, No. 3, 358-361 (1989); Eng. transl.: Crystallography, 34, No. 3, 602-607 (1989).
[26] Markov, VT; Fetisov, GV; Zhukov, SG, Correction for absorption and beam inhomogeneity in X-ray single-crystal diffractometry—method of analytical integration, J. Appl. Crystallography, 23, 94-98 (1990) · doi:10.1107/S0021889889012434
[27] V. T. Markov, “Matrix algebras with two generators and the embedding of PI-algebras,” Usp. Mat. Nauk, 47, No. 4, 199-200 (1992); Eng. transl.: Russ. Math. Surv., 47, No. 4, 216-217 (1992). · Zbl 0787.17003
[28] Aslanov, LA; Markov, VT, A crystal-chemical model of atomic interactions. 6. Intermetallic phase structures, Acta Crystallograph. Sec. A. Found. Crystallography, 48, 281-293 (1992) · doi:10.1107/S0108767391013661
[29] Chernyshev, VV; Fetisov, GV; Laktionov, AV; Markov, VT; Nesterenko, AP; Zhukov, SG, Software and methods for precise X-ray-analysis, J. Appl. Crystallography, 25, 451-454 (1992) · doi:10.1107/S0021889891014243
[30] K. I. Beidar and V. T. Markov, “A semiprime PI ring which has a faithful module with Krull dimension is a Goldie ring,” Usp. Mat. Nauk, 48, No. 6, 141-142 (1993); Eng. transl.: Russ. Math. Surv., 48, No. 6, 158 (1993). · Zbl 0833.16023
[31] V. T. Markov, A. V. Mikhalev, and Ju. V. Popov, “Computer textbooks: the experience of Moscow State University,” in: Computer Technology in Higher Education [in Russian], St. Petersburg (1994), pp. A14-A15.
[32] Markov, VT, On PI-rings having a faithful module with Krull dimension, Fundam. Prikl. Mat., 1, 2, 557-559 (1995) · Zbl 0866.16014
[33] A. A. Nechaev, A. S. Kuzmin, and V. T. Markov, “Linear codes over finite rings and modules,” CNIT of Moscow State Univ., 6, No. 1 (1995). · Zbl 1053.94566
[34] V. T. Markov, “Krull and Gabriel dimension of modules over PI-rings and algebras,” in: Ring Theory Conf., Abstracts, Miskolc (1996), p. 37.
[35] V. T. Markov, “Modules with Krull and Gabriel dimension over rings and algebras with polynomial identities,” in: Y. Fong, U. Knauer, and A. V. Mikhalev, eds., First International Tainan-Moscow Algebra Workshop. Proceedings, Berlin (1996), pp. 249-256. · Zbl 0868.16016
[36] V. P. Gus’kov, V. T. Markov, A. V. Mikhalev, and T. M. Osipova, Experience of the Formation of Information Technologies [in Russian], Moscow Univ. Press, Moscow (1996).
[37] A. S. Kuz’min, V. T. Markov, and A. A. Nechaev, “Linear codes over finite rings and modules,” Fundam. Prikl. Mat., 2, No. 3, 195-254 (1996). · Zbl 1053.94566
[38] V. T. Markov, “On PI-rings and semiprime rings that have an exact module with Krull dimension,” Algebra Logika, 36, No. 5, 562-572 (1997); Eng. transl.: Algebra Logic, 36, No. 5, 330-335 (1997). · Zbl 0941.16011
[39] E. Couselo, S. González, V. Markov, and A. A. Nechaev. “Recursive mds-codes and recursively differentiable quasi-groups,” in: Proc. of the Sixth International Workshop on Algebraic and Combinatorial Coding Theory (ACCT-VI), Pskov (1998), pp. 78-84. · Zbl 0986.94048
[40] S. González, E. Couselo, V. T. Markov, and A. A. Nechaev, “Recursive MDS-codes and recursively differentiable quasigroups,” Diskret. Mat., 10, No. 2, 3-29 (1998); Eng. transl.: Discrete Math. Appl., 8, No. 3, 217-245 (1998). · Zbl 0982.94028
[41] V. T. Markov and Ju. A. Terekhova, “Idempotent rings with property (r),” in: Proc. of the V Math. Readings MGSU Moscow, pp. 108-114 (1998).
[42] E. Couselo, S. González, V. Markov, and A. A. Nechaev, “Recursive mds-codes,” in: Workshop on coding and cryptography (WCC’99). January 11-14, 1999, Paris. Proceedings, Paris (1999), pp. 271-277. · Zbl 0981.94066
[43] E. Couselo, S. González, V. Markov, and A. Nechaev, “Recursive mds-codes and pseudogeometries,” in: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Lect. Notes Comput. Sci., Vol. 1719, Springer, Berlin (1999), pp. 211-220. · Zbl 0981.94066
[44] E. Couselo, S. González, V. Markov, and A. A. Nechaev, “Recursive MDS-codes of length greater than 4,” in: Mathematical Methods and Applications. Proceedings of the 6-th Mathematical Readings MGSU Moscow, Moscow (1999), pp. 93-99.
[45] V. L. Kurakin, A. S. Kuzmin, V. T. Markov, A. V. Mikhalev, and A. A. Nechaev, “Codes and recurrences over finite rings and modules,” Vestn. Moskov. Univ. Ser. I. Mat. Mekh., No. 5, 18-31 (1999); Eng. transl.: Moscow Univ. Math. Bull., 54, No. 5, 15-28 (1999). · Zbl 0971.94017
[46] V. L. Kurakin, A. S. Kuzmin, V. T. Markov, A. V. Mikhalev, and A. A. Nechaev, “Linear codes and polylinear recurrences over finite rings and modules (a survey),” in: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Lect. Notes Comput. Sci., Vol. 1719, Springer, Berlin (1999), pp. 365-390. · Zbl 0986.94034
[47] E. Couselo, S. González, V. Markov, and A. A. Nechaev, “The parameters of recursive MDS-codes,” Diskret. Mat., 12, No. 4, 3-24 (2000); Eng. transl.: Discrete Math. Appl., 10, No. 5, 433-453 (2000). · Zbl 1020.94020
[48] Markov, VT; Nechaev, AA, Radicals of semiperfect rings related to idempotents, Fundam. Prikl. Mat., 6, 1, 293-298 (2000) · Zbl 0984.16020
[49] E. Couselo, S. González, V. Markov, and A. A. Nechaev, “Linear recursive mds-codes and asturian codes,” in: Int. Workshop on Coding and Cryptography, Paris (2001), pp. 142-149. · Zbl 0990.94520
[50] S. González, V. Markov, C. Martínez, A. Nechaev, and I. F. Rúa, “Non-associative Galois rings,” in: Proc. of the AAECC’14 Symp., Melbourne (2001), pp. 43-44.
[51] S. González, V. T. Markov, C. Martínez, A. A. Nechaev, and I. F. Rúa, “Non-associative Galois rings,” Diskret. Mat., 14, No. 4, 117-132 (2002); Eng. trasl.: Discrete Math. Appl., 12, No. 6, 519-606 (2002). · Zbl 1134.17303
[52] Markov, VT; Mikhalev, AV; Nechaev, AA, Linear codes over rings, The Concise Handbook of Algebra, 530-534 (2002), Dordrecht: Kluwer Academic, Dordrecht · Zbl 1008.00004
[53] A. S. Kuz’min, V. L. Kurakin, V. T. Markov, A. V. Mikhalev, and A. A. Nechaev, “Linear recurrent sequences and their applications,” in: Moscow University and the Development of Cryptography in Russia [in Russian], MCMME, Moscow (2003), pp. 122-173. · Zbl 1104.11303
[54] A. S. Kuzmin, V. T. Markov, A. S. Neljubin, and A. A. Nechaev, “The generalized Preparata codes over GF(2l),” in: Proc. of the Int. Workshop on Coding and Cryptography, Versailles (2003), pp. 289-298.
[55] S. González, E. Couselo, V. T. Markov, and A. A. Nechaev, “Group codes and their nonassociative generalizations,” Diskret. Mat., 16, No. 1, 146-156 (2004). · Zbl 1060.94046
[56] E. Couselo, S. González, V. Markov, and A. Nechaev, “Loop-codes,” Discrete Math. Appl., 14, No. 2, 163-172 (2004). · Zbl 1060.94046
[57] S. González, V. Markov, C. Martínez, A. Nechaev, and I. F. Rúa, “Coordinate sets of generalized Galois rings,” J. Algebra Its Appl., 3, No. 1, 31-48 (2004). · Zbl 1130.17003
[58] S. González, V. T. Markov, C. Martínez, A. A. Nechaev, and I. F. Rúa, “On cyclic top-associative generalized Galois rings,” in: Int. Conf. on Finite Fields and Applications, Lect. Notes Comput. Sci., Vol. 2948, Springer, Berlin (2004), pp. 25-39. · Zbl 1072.17003
[59] S. González, V. T. Markov, C. Martínez, A. A. Nechaev, and I. F. Rúa, “Cyclic generalized Galois rings,” Commun. Algebra, 33, No. 12, 4467-4478 (2005). · Zbl 1134.17304
[60] A. S. Kuzmin, V. T. Markov, and A. A. Nechaev, “Properties of hyper-bent functions,” in: Mathematical Methods and Applications. Proc. of the Fourteenth Math. Readings of the RSSU, Moscow (2005), pp. 50-56.
[61] A. S. Kuzmin, V. T. Markov, and A. A. Nechaev, “Properties of hyper-bent functions,” in: Optimal Codes and Related Topics. Proceedings; Fourth Int. Workshop, June 17-23, 2005, Pamporovo, Bulgaria, Inst. of Math. and Inform., Bulgarian Acad. Sci. (2005), pp. 214-219.
[62] A. S. Kuzmin, V. T. Markov, A. A. Nechaev, V. A. Shishkin, and A. B. Shishkov, “Bent- and hyperbent-functions over a field of 2l elements,” in: Tenth Int. Workshop on Algebraic and Combinatorial Coding Theory. Proceedings; 3-9 September 2006, Zvenigorod, Russia, Zvenigorod (2006), pp. 178-181.
[63] A. S. Kuz’min, V. T. Markov, A. A. Nechaev, and A. B. Shishkov, “Approximation of Boolean functions by monomial functions,” Diskret. Mat., 18, No. 1, 9-29 (2006); Eng. transl.: Discrete Math. Appl., 16, No. 1, 7-28 (2006). · Zbl 1103.94035
[64] Kuzmin, AS; Markov, VT; Neljubin, AS; Nechaev, AA, A generalization of the binary preparata code, Discrete Appl. Math., 154, 2, 337-345 (2006) · Zbl 1091.94044 · doi:10.1016/j.dam.2005.03.021
[65] V. T. Markov and V. V. Tenzina, “On Σ-nilpotent ideals of a topological PI-ring,” Fundam. Prikl. Mat., 12, No. 2, 111-115 (2006); Eng. transl.: J. Math. Sci., 149, No. 2, 1113-1118 (2008). · Zbl 1179.16027
[66] A. V. Mikhalev, M. A. Chebotar, and V. T. Markov, “Konstantin Igorevich Beidar (1951-2004),” Fundam. Prikl. Mat., 12, No. 2, 3-15 (2006); Eng. transl.: J. Math. Sci., 149, No. 2, 1039-1046 (2008). · Zbl 1151.01321
[67] A. S. Kuz’min, V. T. Markov, A. A. Nechaev, V. A. Shishkin, and A. B. Shishkov, “Bent- and hyper-bent functions over a field of 2l elements,” Probl. Peredachi Inform., 44, No. 1, 15-37 (2008); Eng. transl.: Probl. Inform. Transmission, 44, No. 1, 12-33 (2008). · Zbl 1235.94049
[68] V. T. Markov, A. A. Nechaev, S. S. Skazhenik, and E. O. Tveritinov, “Pseudogeometries with clusters and an example of a recursive [4, 2, 3]42-code,” Fundam. Prikl. Mat., 14, No. 4, 563-571 (2008); Eng. transl.: J. Math. Sci., 163, No. 5, 563-571 (2009). · Zbl 1288.94099
[69] Latyshev, VN; Vinberg, EB; Mikhalev, AV; Shmelkin, AL; Golod, ES; Iskovskikh, VA; Artamonov, VA; Zaitsev, MV; Prokhorov, YG; Markov, VT; Klyachko, AA; Arzhantsev, IV; Timashev, DA; Guterman, AE; Bunina, EI; Zobnin, AI, Scientific achievements of the Department of Higher Algebra, Moscow State University, Sovr. Probl. Mat. Mekh., 4, 3, 5-38 (2009)
[70] E. Couselo, S. González, C. Martínez, V. Markov, and A. Nechaev, “Some constructions of linearly optimal group codes,” Linear Algebra Its Appl., 433, No. 2, 356-364 (2010). · Zbl 1191.94109
[71] C. García Pillado, S. González, V. Markov, C. Martínez, and A. Nechaev, “Group codes which are not Abelian group codes,” in: Proc. of the Third Int. Castle Meeting on Coding Theory and Appl. (2011), pp. 123-127.
[72] V. T. Markov, “Non-Abelian group codes,” in: Algebra and Number Theory: Modern Problems and Applications, Abstracts of the X Int. Conf., Volgograd, 10-16 September 2012 [in Russian], Peremena, Volgograd (2012), pp. 43-44.
[73] Arzhantsev, IV; Batyrev, VV; Bunina, EI; Golod, ES; Guterman, AE; Zaitsev, MV; Zobnin, AI; Klyachko, AA; Markov, VT; Nechaev, AA; Olshansky, AY; Porshnev, EA; Prokhorov, YG, Student Olympiads in Algebra at the Faculty of Mechanics and Mathematics of Moscow State University (2012), Moscow: MCCME, Moscow
[74] E. Couselo, S. González, V. T. Markov, C. Martínez, and A. A. Nechaev, “Ideal representation of Reed-Solomon and Reed-Muller codes,” Algebra Logika, 51, No. 3, 297-320 (2012); Eng. transl.: Algebra Logic, 51, No. 3, 195-212 (2012). · Zbl 1286.94104
[75] C. García Pillado, S. González, V. Markov, C. Martínez, and A. Nechaev, “Non-Abelian group codes,” Uchen. Zap. Orlovsk. Gos. Univ., 6, No. 2, 73-79 (2012).
[76] C. García Pillado, S. González, V. Markov, C. Martínez, and A. A. Nechaev, “When are all group codes of a noncommutative group Abelian (a computational approach)?” Fundam. Prikl. Mat., 17, No. 2, 75-85 (2012); Eng. transl.: J. Math. Sci., 186, No. 4, 578-585 (2012). · Zbl 1286.94110
[77] Markov, VT; Mikhalev, AV; Gribov, AV; Zolotykh, PA; Skazhenik, SS, Quasigroups and rings in coding and construction of cryptoschemes, Prikl. Diskret. Mat., No., 4, 31-52 (2012) · Zbl 1492.94219
[78] C. García Pillado, S. González, V. T. Markov, C. Martínez, and A. A. Nechaev, “Group codes over non-Abelian groups,” J. Algebra Its Appl., 12, No. 7, 135037 (2013). · Zbl 1320.94112
[79] V. T. Markov, “Abelian and non-Abelian group codes over non-commutative groups,” in: Algebra and Number Theory: Modern Problems and Applications, Proc. of the XII Int. Conf. Dedicated to the 80th Anniversary of Professor Viktor Nikolaevich Latyshev, Tula, 21-25 April 2014 [in Russian], Tolstoy TSPU, Tula (2014), pp. 200-203.
[80] Katyshev, SY; Markov, VT; Nechaev, AA, Utilization of nonassociative groupoids for the realization of an open key-distribution procedure, Diskret. Mat., 26, 3, 3-45 (2014) · doi:10.4213/dm1286
[81] C. García Pillado, S. González, V. T. Markov, and C. Martínez, “Non-Abelian group codes over an arbitrary finite field,” Fundam. Prikl. Mat., 20, No. 1, 17-22 (2015).
[82] C. García Pillado, S. González, V. T. Markov, C. Martínez, and A. A. Nechaev, “New examples of non-Abelian group codes,” in: Coding Theory and Applications 4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014, (CIM Ser. Math. Sci.; Vol. 3), Dordrecht (2015), pp. 203-208. · Zbl 1352.94081
[83] M. M. Glukhov, M. V. Zaicev, A. S. Kuzmin, V. N. Latyshev, V. T. Markov, A. A. Mikhalev, A. V. Mikhalev, and I. A. Chubarov, “Alexandr Alexandrovich Nechaev (7.8.1945-14.11.2014),” Fundam. Prikl. Mat., 20, No. 1, 3-7 (2015); Eng. transl.: J. Math. Sci., 223, No. 5, 495-497 (2017). · Zbl 1369.01021
[84] A. S. Kuzmin, V. T. Markov, A. A. Mikhalev, A. V. Mikhalev, and A. A. Nechaev, “Cryptographic algorithms on groups and algebras,” Fundam. Prikl. Mat., 20, No. 1, 205-222 (2015); Eng. transl.: J. Math. Sci., 223, No. 5, 629-641 (2017). · Zbl 1371.94645
[85] C. García Pillado, S. González, V. Markov, C. Martínez, and A. Nechaev, “New examples of non-Abelian group codes,” Adv. Math. Commun., 10, No. 1, 1-10 (2016). · Zbl 1352.94082
[86] Markov, VT; Mikhalev, AV; Nechaev, AA, Nonassociative algebraic structures in cryptography and coding, Fundam. Prikl. Mat., 21, 4, 99-123 (2016) · Zbl 1455.94227
[87] C. García Pillado, S. González, V. T. Markov, and C. Martínez, “Non-Abelian group codes over an arbitrary finite field,” J. Math. Sci., 223, No. 5, 504-507 (2017). · Zbl 1386.94071
[88] V. T. Markov, “Group codes of small dimension,” in: Algebra, Number Theory and Discrete Geometry: Modern Problems and Applications. Materials of the XV Int. Conf. Dedicated to the Centenary of the Birth of Professor Nikolai Mikhailovich Korobov [in Russian], Tolstoy TSPU, Tula (2018).
[89] V. T. Markov and O. V. Markova, “Group codes of dimension 4,” in: Algebra, Number Theory and Discrete Geometry: Modern Problems, Applications and Problems of History: Proc. of the XVI Int. Conf. Dedicated to the 80th Anniversary of the Birth of Professor Michel Deza [in Russian], Tolstoy TSPU, Tula (2019), pp. 136-138.
[90] V. T. Markov and A. A. Tuganbaev, “Cayley-Dickson process and centrally essential rings,” J. Algebra Its Appl., 18, No. 12, 1950229 (2019). · Zbl 1439.17007
[91] Markov, VT; Tuganbaev, AA, Centrally essential group algebras, J. Algebra, 512, 15, 109-118 (2018) · Zbl 1489.16022 · doi:10.1016/j.jalgebra.2018.07.009
[92] C. García Pillado, S. González, V. Markov, O. Markova, and C. Martínez, “Group codes of dimensión 2 and 3 are Abelian,” Finite Fields Their Appl., 55, 167-176 (2019). · Zbl 1460.94081
[93] S. González, V. Markov, O. Markova, and C. Martínez. “Group codes,” in: Algebra, Codes and Cryptology, Commun. Comput. Inform. Sci., Vol. 1133, Springer, Berlin (2019), pp. 83-96. · Zbl 1460.94083
[94] V. T. Markov and A. A. Tuganbaev, “Centrally essential rings,” Diskret. Mat., 30, No. 2, 55-61 (2018); Eng. transl.: Discrete Math. Appl., 29, No. 3, 189-194 (2019). · Zbl 1466.16040
[95] V. T. Markov and A. A. Tuganbaev, “Centrally essential rings that are not necessarily unital or associative,” Diskret. Mat., 30, No. 4, 41-46 (2018); Eng. transl.: Discrete Math. Appl., 29, No. 4, 215-218 (2019). · Zbl 1439.17006
[96] Markov, VT; Tuganbaev, AA, Rings essential over their centers, Commun. Algebra, 47, 4, 1642-1649 (2019) · Zbl 1472.16037 · doi:10.1080/00927872.2018.1513012
[97] Markov, VT; Tuganbaev, AA, Rings with polynomial identity and centrally essential rings, Beitr. Algebra Geom., 60, 4, 657-661 (2019) · Zbl 1451.16019 · doi:10.1007/s13366-019-00447-w
[98] Markov, VT; Tuganbaev, AA, Uniserial Artinian centrally essential rings, Beitr. Algebra Geom., 61, 1, 23-33 (2019) · Zbl 1490.16086 · doi:10.1007/s13366-019-00463-w
[99] Markov, VT; Mikhalev, AA; Kislitsyn, ES, Non-associative structures in homomorphic cryptography, Fundam. Prikl. Mat., 23, 2, 3-11 (2020)
[100] Markov, VT; Mikhalev, AV; Nechaev, AA, Nonassociative algebraic structures in cryptography and coding, J. Math. Sci., 245, 2, 178-196 (2020) · Zbl 1455.94227 · doi:10.1007/s10958-020-04685-5
[101] Markov, VT; Tuganbaev, AA, Uniserial Noetherian centrally essential rings, Commun. Algebra, 48, 1, 149-153 (2020) · Zbl 1480.16040 · doi:10.1080/00927872.2019.1635607
[102] V. A. Artamonov, S. Chakrabarti, V. T. Markov, and S. K. Pal, “Constructions of polynomially complete quasigroups of arbitrary order,” J. Algebra Its Appl., to appear. · Zbl 1491.20148
[103] V. T. Markov and A. A. Tuganbaev, “Distributive Noetherian centrally essential rings,” J. Algebra Its Appl., to appear. · Zbl 1480.16040
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