Geodesic
$(n+1)$-ary derivations of simple $n$-ary Malcev algebras
Algebra i analiz, Tome 25 (2013) no. 4, pp. 85-100.

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

@article{AA_2013_25_4_a4,
     author = {I. B. Kaygorodov},
     title = {$(n+1)$-ary derivations of simple $n$-ary {Malcev} algebras},
     journal = {Algebra i analiz},
     pages = {85--100},
     publisher = {mathdoc},
     volume = {25},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2013_25_4_a4/}
}
TY  - JOUR
AU  - I. B. Kaygorodov
TI  - $(n+1)$-ary derivations of simple $n$-ary Malcev algebras
JO  - Algebra i analiz
PY  - 2013
SP  - 85
EP  - 100
VL  - 25
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2013_25_4_a4/
LA  - ru
ID  - AA_2013_25_4_a4
ER  - 
%0 Journal Article
%A I. B. Kaygorodov
%T $(n+1)$-ary derivations of simple $n$-ary Malcev algebras
%J Algebra i analiz
%D 2013
%P 85-100
%V 25
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2013_25_4_a4/
%G ru
%F AA_2013_25_4_a4
I. B. Kaygorodov. $(n+1)$-ary derivations of simple $n$-ary Malcev algebras. Algebra i analiz, Tome 25 (2013) no. 4, pp. 85-100. http://geodesic.mathdoc.fr/item/AA_2013_25_4_a4/

[1] Filippov V. T., “O $\delta$-differentsirovaniyakh algebr Li”, Sib. mat. zh., 39:6 (1998), 1409–1422 | MR | Zbl

[2] Filippov V. T., “O $\delta$-differentsirovaniyakh pervichnykh algebr Li”, Sib. mat. zh., 40:1 (1999), 201–213 | MR | Zbl

[3] Filippov V. T., “O $\delta$-differentsirovaniyakh pervichnykh alternativnykh i maltsevskikh algebr”, Algebra i logika, 39:5 (2000), 618–625 | MR | Zbl

[4] Kaigorodov I. B., “O $\delta$-differentsirovaniyakh prostykh konechnomernykh iordanovykh superalgebr”, Algebra i logika, 46:5 (2007), 585–605 | MR | Zbl

[5] Kaigorodov I. B., “O $\delta$-differentsirovaniyakh klassicheskikh superalgebr Li”, Sib. mat. zh., 50:3 (2009), 547–565 | MR | Zbl

[6] Kaigorodov I. B., “O $\delta$-superdifferentsirovaniyakh prostykh konechnomernykh iordanovykh i lievykh superalgebr”, Algebra i logika, 49:2 (2010), 195–215 | MR | Zbl

[7] Zusmanovich P., “On $\delta$-derivations of Lie algebras and superalgebras”, J. of Algebra, 324:12 (2010), 3470–3486 | DOI | MR | Zbl

[8] Zhelyabin V. N., Kaigorodov I. B., “O $\delta$-superdifferentsirovaniyakh prostykh superalgebr iordanovykh skobok”, Algebra i analiz, 23:4 (2011), 40–58 | MR

[9] Kaigorodov I. B., “O $\delta$-superdifferentsirovaniyakh poluprostykh konechnomernykh iordanovykh superalgebr”, Mat. zametki, 91:2 (2012), 200–213 | DOI

[10] Kaigorodov I. B., “Ob obobschennom duble Kantora”, Vestn. Samar. gos. un-ta. Estestvennonauchnaya seriya, 2010, no. 4(78), 42–50

[11] Kaygorodov I., “$\delta$-derivations of algebras and superalgebras”, Proceedings of the International Conference on Algebra 2010, World Sci. Publ., Hackensack, NS, 2012, 374–380 | DOI | MR

[12] Kaigorodov I. B., “O $\delta$-differentsirovaniyakh $n$-arnykh algebr”, Izv. RAN. Ser. mat., 76:6 (2012), 81–94 | DOI | MR | Zbl

[13] Perez-Izquierdo J. M., “Unital algebras, ternary derivations, and local triality”, Algebras, representations and applications, Contemp. Math., 483, Amer. Math. Soc., Providence, RI, 2009, 205–220 | DOI | MR | Zbl

[14] Leger G., Luks E., “Generalized derivations of Lie algebras”, J. of Algebra, 228:1 (2000), 165–203 | DOI | MR | Zbl

[15] Zhang R., Zhang Y., “Generalized derivations of Lie superalgebras”, Comm. Algebra, 38:10 (2010), 3737–3751 | DOI | MR | Zbl

[16] Komatsu H., Nakajima A., “Generalized derivations of associative algebras”, Quaest. Math., 26:2 (2003), 213–235 | DOI | MR | Zbl

[17] Komatsu H., Nakajima A., “Generalized derivations with invertible values”, Comm. Algebra, 32:5 (2004), 1937–1944 | DOI | MR | Zbl

[18] Jimenez-Gestal C., Perez-Izquierdo J. M., “Ternary derivations of generalized Cayley–Dickson algebras”, Comm. Algebra, 31:10 (2003), 5071–5094 | DOI | MR | Zbl

[19] Jimenez-Gestal C., Perez-Izquierdo J. M., “Ternary derivations of finite-dimensional real division algebras”, Linear Algebra Appl., 428:8–9 (2008), 2192–2219 | DOI | MR | Zbl

[20] Shestakov A. I., “Ternarnye differentsirovaniya separabelnykh assotsiativnykh i iordanovykh algebr”, Sib. mat. zh., 53:5 (2012), 1178–1195 | MR | Zbl

[21] Kaigorodov I. B., “$(n+1)$-arnye differentsirovaniya prostykh $n$-arnykh algebr”, Algebra i logika, 50:5 (2011), 689–691 | MR | Zbl

[22] Kaigorodov I. B., Ob $(n+1)$-arnykh differentsirovaniyakh poluprostykh algebr Filippova, arXiv: 1110.0926

[23] Filippov V. T., “$n$-Lievy algebry”, Sib. mat. zh., 26:6 (1985), 126–140 | MR | Zbl

[24] Pozhidaev A. P., “$n$-Arnye algebry Maltseva”, Algebra i logika, 40:3 (2001), 309–329 | MR | Zbl

[25] Azcarraga J. A., Izquierdo J. M., “$n$-Ary algebras: a review with applications”, J. Phys. A, 43:29 (2010), 293001 | DOI | Zbl

[26] Maltsev A. I., “Analiticheskie lupy”, Mat. sb., 36(78):3 (1955), 569–576 | MR | Zbl

[27] Kuzmin E. N., “Struktura i predstavleniya konechnomernykh algebr Maltseva”, Issledovaniya po teorii kolets i algebr, Tr. In-ta matematiki SO AN SSSR, 16, Nauka, Novosibirsk, 1989, 75–101 | MR

[28] Grishkov A. N., “Stroenie i predstavleniya binarno-lievykh algebr”, Izv. AN SSSR. Ser. mat., 44:5 (1980), 999–1030 | MR | Zbl

[29] Pozhidaev A. P., Saraiva P., “On derivations of the ternary Malcev algebra $M_8$”, Comm. Algebra, 34:10 (2006), 3593–3608 | DOI | MR

[30] Pozhidaev A. P., “Kornevoe razlozhenie ternarnoi algebry Maltseva $M_8$”, Sib. mat. zh., 46:4 (2005), 901–906 | MR | Zbl

[31] Zhevlakov K. A., Slinko A. M., Shestakov I. P., Shirshov A. I., Koltsa, blizkie k assotsiativnym, Nauka, M., 1978 | MR | Zbl