On the centenary of the birth of academician Anatolii Ivanovich Mal'tsev (1909-1967)

M. K. Kerimov

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1875-1882

Bibliographie

[1] Malcev A., “Untersuchungen aus dem Gebiete der mathematischen Logik”, Matem. sb., 1(43):3 (1936), 323–336 | Zbl

[2] Malcev A., “On the immersion of an algebraic ring into a field”, Math. Ann., 113 (1937), 686–691 | DOI | MR

[3] Maltsev A. I., “Abelevy gruppy konechnogo ranga bez krucheniya”, Matem. sb., 4:46 (1938), 45–68

[4] Maltsev A. I., “O vklyuchenii assotsiativnykh sistem v gruppy”, Matem. sb., 6:48 (1939), 331–336

[5] Maltsev A. I., “O vklyuchenii assotsiativnykh sistem v gruppy, II”, Matem. sb., 8:50 (1940), 251–264

[6] 1965

[7] Maltsev A. I., “Ob odnom obschem metode polucheniya lokalnykh teorem teorii grupp”, Uch. zap. ped. in-ta, fiz.-matem. f-t, 1, no. 1, Ivanovo, 1941, 3–9

[8] Maltsev A. I., “O lokalnykh i polnykh topologicheskikh gruppakh”, Dokl. AN SSSR, 32:9 (1941), 606–608

[9] Maltsev A. I., “Rets. na kn.: L. S. Pontryagin, Nepreryvnye gruppy”, Izv. AN SSSR. Ser. matem., 5:6 (1941), 445–447

[10] Maltsev A. I., “O razlozhenii algebry v pryamuyu summu radikala i poluprostoi podalgebry”, Dokl. AN SSSR, 36:2 (1942), 46–50

[11] Maltsev A. I., “O strukture grupp Li v tselom”, Dokl. AN SSSR, 37:1 (1942), 3–6

[12] Maltsev A. I., “Ob odnosvyaznosti normalnykh delitelei grupp Li”, Dokl. AN SSSR, 34:1 (1942), 12–15 | MR

[13] Maltsev A. I., “Podgruppy grupp Li v tselom”, Dokl. AN SSSR, 36:1 (1942), 5–8

[14] Maltsev A. I., “O lineinykh svyaznykh lokalno-zamknutykh gruppakh”, Dokl. AN SSSR, 40:3 (1943), 108–110

[15] Maltsev A. I., “O predstavleniyakh beskonechnykh algebr”, Matem. sb., 13:2/3 (1943), 263–285

[16] Maltsev A. I., “Ortogonalnye i simplekticheskie predstavleniya poluprostykh grupp Li”, Dokl. AN SSSR, 41:8 (1943), 332–335

[17] Maltsev A. I., “O poluprostykh podgruppakh grupp Li”, Izv. AN SSSR. Ser. matem., 8:4 (1944), 143–174

[18] Maltsev A. I., “Kommutativnye podalgebry poluprostykh algebr Li”, Izv. AN SSSR. Ser. matem., 9:4 (1945), 291–300

[19] Maltsev A. I., “O razreshimykh algebrakh Li”, Izv. AN SSSR. Ser. matem., 9:5 (1945), 329–352

[20] Malcev A., “On the theory of the Lie groups in the large”, Matem. sb., 16:2 (1945), 163–189 | MR

[21] Maltsev A. I., “Topologicheskie razreshimye gruppy”, Matem. sb., 19:2 (1946), 165–173

[22] Maltsev A. I., “Zamechanie k rabote: A. N. Kolmogorov, A. A. Petrov, Yu. M. Smirnov, Odna formula Gaussa iz teorii naimenshikh kvadratov”, Izv. AN SSSR. Ser. matem., 11:6 (1947), 567–568 | MR

[23] Maltsev A. I., “O vklyuchenii gruppovykh algebr v algebry s deleniem”, Dokl. AN SSSR, 60:9 (1948), 1499–1501

[24] Maltsev A. I., “O gruppakh konechnogo ranga”, Matem. sb., 22:2 (1948), 351–352

[25] Maltsev A. I., “O normirovannykh algebrakh Li nad polem ratsionalnykh chisel”, Dokl. AN SSSR, 62:6 (1948), 745–748

[26] Maltsev A. I., Osnovy lineinoi algebry, Gostekhizdat, M.–L., 1948, 423 pp. | MR

[27] Maltsev A. I., “Topologicheskaya algebra i gruppy Li”, Matematika v SSSR za 30 let, Gostekhizdat, M.–L., 1948, 134–158

[28] Maltsev A. I., “Nilpotentnye gruppy bez krucheniya”, Izv. AN SSSR. Ser. matem., 13:3 (1949), 201–212

[29] Maltsev A. I., “O beskonechnykh razreshimykh gruppakh”, Dokl. AN SSSR, 67:1 (1949), 23–25

[30] Maltsev A. I., “Ob odnom klasse odnorodnykh prostranstv”, Izv. AN SSSR. Ser. matem., 13:1 (1949), 9–32

[31] Maltsev A. I., “Ob uporyadochennykh gruppakh”, Izv. AN SSSR. Ser. matem., 13:6 (1949), 473–482

[32] Maltsev A. I., “Obobschenno nilpotentnye algebry i ikh prisoedinennye gruppy”, Matem. sb., 25:3 (1949), 347–366

[33] Maltsev A. I., “Ob algebrakh s tozhdestvennymi opredelyayuschimi sootnosheniyami”, Matem. sb., 26:1 (1950), 19–33

[34] Malcev A. I., On semi-simple subgroups of Lie groups, Amer. Math. Soc. Translat., no. 33, 1950, 43 pp. | MR

[35] Malcev A. I., Solvable Lie algebras, Amer. Math. Soc. Translat., no. 27, 1950, 36 pp. | MR

[36] Maltsev A. I., “Iz doklada na Ivanovskoi oblastnoi konferentsii storonnikov mira”, Rabochii krai, 1951, 16 sent.

[37] Maltsev A. I., “O douporyadochenii grupp”, Tr. Matem. in-ta AN SSSR, 38, 1951, 173–175

[38] Maltsev A. I., “O nekotorykh klassakh beskonechnykh razreshimykh grupp”, Matem. sb., 28:3 (1951), 567–588

[39] Malcev A. I., Commutative subalgebras of semi-simple Lie algebras, Amer. Math. Soc. Translat., no. 40, 1951, 15 pp. | MR

[40] Malcev A. I., On a class of homogeneous spaces, Amer. Math. Soc. Translat., no. 39, 1951, 33 pp. | MR

[41] Malcev A. I., On solvable topological groups, Amer. Math. Soc. Translat., no. 42, 1951, 14 pp. | MR

[42] Maltsev A. I., “Gruppy”, Bolshaya Sovetskaya Entsiklopediya, v. 13, 2-e izd., 1952, 138–143

[43] Maltsev A. I., “Invarianty”, Bolshaya Sovetskaya Entsiklopediya, v. 17, 2-e izd., 1952, 613–614

[44] Maltsev A. I., “Ob odnom predstavlenii neassotsiativnykh kolets”, Uspekhi matem. nauk, 7:1 (1952), 181–185 | MR

[45] Maltsev A. I., “Retsenziya na kn.: A. G. Kurosh, Kurs vysshei algebry”, Sov. kniga, 12, M., 1952, 21–22

[46] Maltsev A. I., “Simmetricheskie gruppoidy”, Matem. sb., 31:1 (1952), 136–151

[47] Maltsev A. I., “Sovetskaya nauka sluzhit blagorodnomu delu mira”, Rabochii krai, 1952, 5 okt.

[48] Maltsev A. I., “Vse sily — delu ukrepleniya mira!”, Dokl. na plenume Ivanovskogo oblastnogo komiteta zaschity mira, Rabochii krai, 1953, 19 sent.

[49] Maltsev A. I., “Multiplikativnye sravneniya matrits”, Dokl. AN SSSR, 90:3 (1953), 333–335

[50] Maltsev A. I., “Nilpotentnye polugruppy”, Uch. zap. Ivanovskogo gos. ped. in-ta. Ser. fiz.-matem. nauk, 4 (1953), 107–111 | MR

[51] Maltsev A. I., “Ob odnom klasse algebraicheskikh sistem”, Uspekhi matem. nauk, 8:1 (1953), 165–171 | MR

[52] Maltsev A. I., “K obschei teorii algebraicheskikh sistem”, Matem. sb., 35:1 (1954), 3–20

[53] Maltsev A. I., “My — mirnye lyudi”, Leninets, 1954, 30 dek.

[54] Maltsev A. I., “Analiticheskie lupy”, Matem. sb., 36:3 (1955), 569–576 | MR

[55] Maltsev A. I., “Dva zamechaniya o nilpotentnykh gruppakh”, Matem. sb., 37:3 (1955), 567–572

[56] Maltsev A. I., “Algebraicheskie sistemy”, Tr. III Vses. matem. s'ezda, v. 2, M., 1956, 8

[57] Maltsev A. I., “Gruppy i drugie algebraicheskie sistemy”, Matematika, ee soderzhanie, metody i znachenie, v. 3, Izd-vo AN SSSR, M., 1956, 248–331

[58] Maltsev A. I., “O chastichno uporyadochennykh gruppakh”, Uch. zap. Ivanovskogo gos. ped. in-ta. Ser. fiz.-matem. nauk, 10 (1956), 3–5

[59] Maltsev A. I., “Kvaziprimitivnye klassy abstraktnykh algebr”, Dokl. AN SSSR, 108:2 (1956), 187–189

[60] Maltsev A. I., “O predstavleniyakh modelei”, Dokl. AN SSSR, 108:1 (1956), 27–29 | MR

[61] Maltsev A. I., Osnovy lineinoi algebry, 2-e izd., Gostekhizdat, M., 1956, 340 pp.

[62] Maltsev A. I., “Podpryamye proizvedeniya modelei”, Dokl. AN SSSR, 109:2 (1956), 264–266 | MR

[63] Mal'cev A. I., “On certain classes of infinite solvable groups”, Amer. Math. Soc. Translat. Ser. II, 2, 1956, 1–21 | MR

[64] Maltsev A. I., “Zaschita mira — vazhneishee delo chelovechestva”, Bloknot agitatora, 1957, no. 23, 6–15

[65] Maltsev A. I., “O klassakh modelei s operatsiei porozhdeniya”, Dokl. AN SSSR, 116:5 (1957), 738–741

[66] Maltsev A. I., “O proizvodnykh operatsiyakh i predikatakh”, Dokl. AN SSSR, 116:1 (1957), 24–27

[67] Maltsev A. I., “Svobodnye topologicheskie algebry”, Izv. AN SSSR. Ser. matem., 21:2 (1957), 171–198

[68] Maltsev A. I., “O gomomorfizmakh na konechnye gruppy”, Uspekhi matem. nauk, 13:3 (1958), 237–238 | MR

[69] Maltsev A. I., “O gomomorfizmakh na konechnye gruppy”, Uch. zap. Ivanovskogo gos. ped. in-ta, 18 (1968), 49–60

[70] Maltsev A. I., “O nekotorykh klassakh modelei”, Dokl. AN SSSR, 120:2 (1958), 245–248

[71] Maltsev A. I., “Opredelyayuschie sootnosheniya v kategoriyakh”, Dokl. AN SSSR, 119:6 (1958), 1095–1098

[72] Maltsev A. I., “Strukturnaya kharakteristika nekotorykh klassov algebr”, Dokl. AN SSSR, 120:1 (1958), 29–32

[73] Maltsev A. I., “Velikoe dvizhenie sovremennosti: K 10-letiyu Vsemirnogo dvizheniya storonnikov mira”, Rabochii krai, 1959, 19 apr.

[74] Maltsev A. I., “Modelnye sootvetstviya”, Izv. AN SSSR. Ser. matem., 28:3 (1959), 313–336

[75] Maltsev A. I., “O malykh modelyakh”, Dokl. AN SSSR, 127:2 (1959), 258–261 | MR

[76] Maltsev A. I., “Ob odnom sootvetstvii mezhdu koltsami i gruppami”, Uspekhi matem. nauk, 4:5 (1959), 208–209

[77] Maltsev A. I., “Regulyarnye proizvedeniya modelei”, Izv. AN SSSR. Cer. matem., 23:4 (1959), 489–502 | MR

[78] Maltsev A. I., “O nerazreshimosti elementarnykh teorii nekotorykh polei”, Sibirskii matem. zhurnal, 1:1 (1960), 71–77

[79] Maltsev A. I., “O svobodnykh razreshimykh gruppakh”, Dokl. AN SSSR, 130:3 (1960), 495–498

[80] Maltsev A. I., “Ob odnom sootvetstvii mezhdu koltsami i gruppami”, Matem. cb., 50:3 (1960), 257–266

[81] Maltsev A. I., Rekursivnye funktsii, Novosibirsk, 1960, 39 pp.

[82] Mal'cev A. I., “On free soluble groups”, Sov. Math. Doklady, 1 (1960), 65–68 | MR

[83] Maltsev A. I., “Zamechanie k state: O nerazreshimosti elementarnykh teorii nekotorykh polei”, Sibirskii matem. zhurnal, 2:4 (1961), 639

[84] Maltsev A. I., “Konstruktivnye algebry, 1”, Uspekhi matem. nauk, 16:3 (1961), 3–60 | MR

[85] Maltsev A. I., Nekotorye voprosy sovremennoi teorii klassov modelei, Novosibirsk, 1961, 61 pp.

[86] Maltsev A. I., “Nerazreshimost elementarnoi teorii konechnykh grupp”, Dokl. AN SSSR, 138:4 (1961), 771–774

[87] Maltsev A. I., “Ob elementarnykh teoriyakh lokalno svobodnykh universalnykh algebr”, Dokl. AN SSSR, 138:5 (1961), 1009–1012

[88] Maltsev A. I., “Ob elementarnykh svoistvakh lineinykh grupp”, Nekotorye problemy matematiki i mekhaniki, Novosibirsk, 1961, 110–132

[89] Maltsev A. I., “Effektivnaya neotdelimost mnozhestva tozhdestvenno istinnykh i mnozhestva konechno oproverzhimykh formul nekotorykh elementarnykh teorii”, Dokl. AN SSSR, 139:4 (1961), 802–805

[90] Maltsev A. I., “Sovremennoe sostoyanie teorii klassov modelei”, IV Vses. matem. s'ezd, Annotatsii plenarnykh dokladov (1961 g.), L., 1961, 19–21

[91] Mal'tsev A. I., “Constructive algebras, I”, Russian Math. Surveys, 16:3 (1961), 77–129 | DOI

[92] Mal'cev A. I., “Effective inseparability of the set of identically true from the set of finitely refutable formulas of certain elementary theories”, Sov. Math. Doklady, 2 (1961), 1005–1008

[93] Mal'cev A. I., “Free topological algebras”, Amer. Math. Soc. Translat. Ser. II, 17, 1961, 173–200 | MR

[94] Mal'cev A. I., “On the elementary theories of locally free universal algebras”, Sov. Math. Doklady, 2 (1961), 768–771

[95] Mal'cev A. I., “Undecidability of the elementary theory of finite groups”, Sov. Math. Doklady, 2 (1961), 714–717

[96] Maltsev A. I., Algebra i logika. Seminar, 1, AN SSSR. SO. In-t matem., Novosibirsk, 1962, 19 pp.

[97] Maltsev A. I., “Aksiomatiziruemye klassy lokalno svobodnykh algebr nekotorykh tipov”, Sibirskii matem. zhurnal, 3:5 (1962), 729–743

[98] Maltsev A. I., “O rekursivnykh abelevykh gruppakh”, Dokl. AN SSSR, 146:5 (1962), 1009–1012

[99] Maltsev A. I., “O chastichno uporyadochennykh nilpotentnykh gruppakh”, Algebra i logika. Seminar, 1, no. 2, 1962, 5–9

[100] Maltsev A. I., “Ob uravnenii $zxyx - 1y - 1z - 1 = aba - 1b - 1$ v svobodnoi gruppe”, Algebra i logika. Seminar, 1, no. 5, 1962, 45–50 | MR

[101] Maltsev A. I., “Sergei Nikolaevich Chernikov: K 50-letiyu so dnya rozhdeniya”, Uspekhi matem. nauk, 17:5 (1962), 177–181 (with V. S. Charinym) | MR

[102] Maltsev A. I., “Strogo rodstvennye modeli i rekursivno sovershennye algebry”, Dokl. AN SSSR, 145:2 (1962), 276–279

[103] Mal'cev A. I., “Strongly related models and recursively complete algebras”, Sov. Math. Doklady, 3 (1962), 987–991

[104] Mal'cev A. I., “Theories of the first order of some classes of groups and rings”, Internat. Congress Math., Abstracts of short communications (Stockholm, 1962), 3.10–3.11

[105] Maltsev A. I., “Nekotorye voprosy teorii klassov modelei”, Tr. IV Vses. matem. s'ezda, v. 1, L., 1963, 188–198

[106] Maltsev A. I., “O nekotorykh voprosakh teorii konstruktivnykh algebr”, V Vses. kollokvium po obschei algebre, Rezyume soobschenii i dokladov, Novosibirsk, 1963, 38

[107] Maltsev A. I., “O teoriyakh 1-i stupeni nekotorykh klassov grupp i kolets”, Proc. Intern. Congress Math. (Stockholm, 1962)

[108] Maltsev A. I., “Polno numerovannye mnozhestva”, Algebra i logika. Ceminar, 2, no. 2, 1963, 4–29

[109] Maltsev A. I., “Polnye numeratsii”, V Vses. kollokvium po obschei algebre, Rezyume soobschenii i dokladov, Novosibirsk, 1963, 38

[110] Mal'cev A. I., Foundations of linear algebra, Transl. from the Russian by Thomas Craig Brown, ed. J. B. Roberts, W. H. Freeman and Co., San Francisco–London, 1963, 304 pp. | MR

[111] Mal'cev A. I., “On recursive abelian groups”, Sov. Math. Doklady, 3 (1963), 1431–1434

[112] Mal'cev A. I., “On the general theory of algebraic systems”, Amer. Math. Soc. Translat. Ser. II, 27, 1963, 125–142 | MR

[113] Maltsev A. I., “K teorii vychislimykh semeistv ob'ektov”, Algebra i logika. Seminar, 3, no. 4, 1964, 5–31

[114] Mal'cev A. I., “Regular products of models”, Amer. Math. Soc. Translat. Ser. II, 39, 1964, 193–206

[115] Maltsev A. I., Algoritmy i rekursivnye funktsii, Nauka, M., 1965, 391 pp. | MR

[116] Maltsev A. I., “Petr Grigorevich Kontorovich: K 60-letiyu so dnya rozhdeniya”, Uspekhi matem. nauk, 20:4 (1965), 209–212 (with B. I. Plotkinym)

[117] Maltsev A. I., “Pozitivnye i negativnye numeratsii”, Dokl. AN SSSR, 160:2 (1965), 278–280

[118] Mal'cev A. I. (ed.), Logic, methodology and philosophy of science, Stanford University Press, Stanford, Calif., 1962; Maltsev A. I., “Predislovie k russkomu izdaniyu”: Maltsev A. I. (red.), Matematicheskaya logika i ee primeneniya, Sb. st., Mir, M., 1965, 5–6

[119] Mal'cev A. I., “On a correspondence between rings and groups”, Amer. Math. Soc. Translat. Ser. II, 45, 1965, 221–231

[120] Mal'cev A. I., “On the faithful representation of infinite groups by matrices”, Amer. Math. Soc. Translat. Ser. II, 45, 1965, 1–18

[121] Mal'cev A. I., “On the undecidability of elementatry theories of certa fields”, Amer. Math. Soc. Translat. Ser. II, 48, 1965, 36–43

[122] Mal'cev A. I., “Positive and negative numerations”, Sov. Math. Doklady, 6 (1965), 75–77

[123] Mal'cev A. I. (ed.), Logic, methodology and philosophy of science, Stanford University Press, Stanford, Calif., 1962; Maltsev A. I. (red.), Matematicheskaya logika i ee primeneniya, Sb. st., Mir, M., 1965, 341 pp.

[124] Maltsev A. I., “Iterativnye algebry i mnogoobraziya Posta”, Algebra i logika. Seminar, 5, no. 2, 1966, 5–24

[125] Maltsev A. I., “Neskolko zamechanii o kvazimnogoobraziyakh algebraicheskikh sistem”, Algebra i logika. Seminar, 5, no. 3, 1966, 3–9

[126] Maltsev A. I., “O nekotorykh pogranichnykh voprosakh algebry i matematicheskoi logiki”, Mezhdunar. kongress matematikov, Tezisy dokladov po priglasheniyu, M., 1966, 26

[127] Maltsev A. I., “O standartnykh oboznacheniyakh i terminologii v teorii algebraicheskikh sistem”, Algebra i logika. Seminar, 5, no. 1, 1966, 71–77

[128] Maltsev A. I., “Tozhdestvennye sootnosheniya na mnogoobraziyakh kvazigrupp”, Matem. sb., 69:1 (1966), 3–12

[129] Maltsev A. I., “Matematika nuzhna vsem”, Pravda, 1967, 29 yanv.

[130] Maltsev A. I., “Ob odnom usilenii teorem Slupetskogo i Yablonskogo”, Algebra i logika. Seminar, 6, no. 3, 1967, 61–74

[131] Maltsev A. I., “Ob umnozhenii klassov algebraicheskikh sistem”, Sibirskii matem. zhurnal, 8:2 (1967), 346–365

[132] Maltsev A. I., “Universalno-aksiomatiziruemye podklassy lokalno-konechnykh klassov modelei”, Sibirskii matem. zhurnal, 8:5 (1967), 1005–1014

[133] Maltsev A. I., “Sergei Antonovich Chunikhin: K 60-letiyu so dnya rozhdeniya”, Uspekhi matem. nauk, 22:2 (1967), 189–197 (with S. A. Safonovym, S. N. Chernikovym, L. A. Shemetkovym) | MR