A. I. Shestakov, “Ternary derivations of separable associative and Jordan algebras”, Sibirsk. Mat. Zh., 53:5 (2012), 1178–1195; Siberian Math. J., 53:5 (2012), 943

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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 5, Pages 1178–1195 (Mi smj2339)

This article is cited in 15 scientific papers (total in 15 papers)

Ternary derivations of separable associative and Jordan algebras

A. I. Shestakov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Full-text PDF (337 kB) Citations (15)

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Abstract: We describe the ternary derivations of finite-dimensional separable associative and Jordan algebras.

Keywords: associative algebra, alternative algebra, Jordan algebra, Lie algebra, derivation, ternary derivation.

Received: 14.10.2011

English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 5, Pages 943–956
DOI: https://doi.org/10.1134/S0037446612050199

Bibliographic databases:

Document Type: Article

UDC: 512.554

Language: Russian

Citation: A. I. Shestakov, “Ternary derivations of separable associative and Jordan algebras”, Sibirsk. Mat. Zh., 53:5 (2012), 1178–1195; Siberian Math. J., 53:5 (2012), 943–956

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Linking options:

https://www.mathnet.ru/eng/smj2339

https://www.mathnet.ru/eng/smj/v53/i5/p1178

This publication is cited in the following 15 articles:

Zijie Qin, Lin Chen, “Characterization of ternary derivation of strongly double triangle subspace lattice algebras”, MATH, 8:12 (2023), 29368
Martin Barquero D., Martin Gonzalez C., Sanchez-Ortega J., Vandeyar M., “Ternary Mappings of Triangular Algebras”, Aequ. Math., 95:5 (2021), 841–865
Fosner A., Ghahramani H., “Ternary Derivations of Nest Algebras”, Oper. Matrices, 15:1 (2021), 327–339
Saeedi F. Sheikh-Mohseni S., “On Id-Derivations of Filippov Algebras”, Asian-Eur. J. Math., 11:4 (2018), 1850050
Kaygorodov I. Lopatin A. Popov Yu., “Jordan Algebras Admitting Derivations With Invertible Values”, Commun. Algebr., 46:1 (2018), 69–81
P. Zusmanovich, “Non-semigroup gradings of associative algebras”, Linear Alg. Appl., 523 (2017), 52–58
A. Doosti, F. Saeedi, S. Tajnia, “Some properties of $m$ -isoclinism and $\mathrm{ID}^*$ -derivations in Filippov algebras”, Cogent Math., 4 (2017), 1309740
I. Kaygorodov, Yu. Popov, “Generalized derivations of (color) $n$ -ary algebras”, Linear Multilinear Algebra, 64:6 (2016), 1086–1106
I. Kaygorodov, Yu. Popov, “A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations”, J. Algebra, 456 (2016), 323–347
I. B. Kaygorodov, “ $(n+1)$ -ary Derivations of Semisimple Filippov algebras”, Math. Notes, 96:2 (2014), 208–216
I. B. Kaygorodov, Yu. S. Popov, “Alternative algebras admitting derivations with invertible values and invertible derivations”, Izv. Math., 78:5 (2014), 922–936
A. I. Shestakov, “Ternary derivations of Jordan superalgebras”, Algebra and Logic, 53:4 (2014), 323–348
I. Kaygorodov, E. Okhapkina, “ $\delta$ -derivations of semisimple finite-dimensional structurable algebras”, J. Algebra. Appl., 13:4 (2014), 1350130
I. B. Kaygorodov, “ $(n+1)$ -ary derivations of simple $n$ -ary Malcev algebras”, St. Petersburg Math. J., 25:4 (2014), 575–585
Juana Sánchez-Ortega, “On the definitions of nucleus for dialgebras”, Journal of Algebra, 392 (2013), 244

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	437
Full-text PDF :	111
References:	63
First page:	3

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