Geodesic
Identities and $n$-ary Kulakov algebras
Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 203-219.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this work, an algebraic approach to the theory of physical structures is being developed — theory oriented to the classification of fundamental physical laws. The axiomatic approach naturally leads to the introduction of new algebraic systems — $n$-ary Kulakkov's algebras, definitions and studies of which the present work is dedicated. 
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M. V. Neshchadim; A. A. Simonov. Identities and $n$-ary Kulakov algebras. Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 203-219. http://geodesic.mathdoc.fr/item/MT_2022_25_2_a8/

[1] Kulakov Yu.I., Elementy teorii fizicheskikh struktur, dopolnenie G.G. Mikhailichenko, NGU, Novosibirsk, 1968, 226 pp. | MR

[2] Kulakov Yu.I., “Ob odnom printsipe, lezhaschem v osnovanii klassicheskoi fiziki”, Dokl. AN SSSR, 193:1 (1970), 72–75 | MR

[3] Kulakov Yu.I., “Matematicheskaya formulirovka teorii fizicheskikh struktur”, Sib. matem. zhurn., 12:5 (1971), 1142–1145 | MR | Zbl

[4] Kulakov Yu.I., Teoriya fizicheskikh struktur, Alfa Vista, Novosibirsk, 2004

[5] Tikhomirov V.M., Prasolov V.V., Geometriya, MTsNMO, M., 2019

[6] Neschadim M.V., Simonov A.A., “Ob algebraicheskikh sistemakh Kulakova na gruppakh”, Sib. matem. zhurn., 62:6 (2021), 1357–1368

[7] Mikhailichenko G.G., “Ternarnaya fizicheskaya struktura ranga (3,2)”, Ukr. mat. zhurn., 22:6 (1970), 837–841 | MR | Zbl

[8] Mikhailichenko G.G., “Ternarnaya fizicheskaya struktura ranga (2,2,2)”, Izv. vuzov. Matematika, 171:8 (1976), 60–67 | Zbl

[9] Simonov A.A., “Psevdomatrichnye gruppy i fizicheskie struktury”, Sib. matem. zhurn., 56:1 (2015), 211–226 | MR

[10] Prasolov V.V., Zadachi i teoremy lineinoi algebry, MTsNMO, M., 2015

[11] Plotkin B.I., Universalnaya algebra, algebraicheskaya logika i bazy dannykh, Nauka, M., 1991, 448 pp. | MR

[12] Maltsev A.I., Algebraicheskie sistemy, Nauka, M., 1970, 392 pp. | MR

[13] Mikhailichenko G.G., “K voprosu o simmetrii rasstoyaniya v geometrii”, Izv. vuzov. Matem., 383:4 (1994), 21–23 | Zbl

[14] Novikov S.P., Fomenko A.T., Elementy differentsialnoi geometrii i topologii, Nauka, M., 1987 | MR

[15] Sosinskii A.B., Geometrii, MTsNMO, M., 2018

[16] Mikhailichenko G.G., “O gruppovoi i fenomenologicheskoi simmetriyakh v geometriyakh”, Sib. mat. zhurn., 25:5 (1984), 99–113 | MR | Zbl

[17] Mikhailichenko G.G., “Fenomenologicheskaya i gruppovaya simmetrii v geometrii dvukh mnozhestv (teorii fizicheskikh struktur)”, Dokl. AN SSSR, 284:1 (1985), 39–43 | MR | Zbl

[18] Kyrov V. A., “Kratno tranzitivnaya gruppa Li preobrazovanii kak fizicheskaya struktura”, Matem. tr., 24:2 (2021), 81–104 | MR

[19] Mikhailichenko G.G., Matematicheskie osnovy i rezultaty teorii fizicheskikh struktur, RITs NGU, Gorno-Altaisk, 2016