V. N. Zhelyabin, “New examples of simple Jordan superalgebras over an arbitrary field of characteristic zero”, Algebra i Analiz, 24:4 (2012), 84–96; St. Petersburg Math. J., 24:4 (2013), 591

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Algebra i Analiz, 2012, Volume 24, Issue 4, Pages 84–96 (Mi aa1293)

This article is cited in 12 scientific papers (total in 12 papers)

Research Papers

New examples of simple Jordan superalgebras over an arbitrary field of characteristic zero

V. N. Zhelyabin^ab

^a Novosibirsk State University, Novosibirsk, Russia
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Full-text PDF (206 kB) Citations (12)

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Received: 13.09.2010

English version:
St. Petersburg Mathematical Journal, 2013, Volume 24, Issue 4, Pages 591–600
DOI: https://doi.org/10.1090/S1061-0022-2013-01255-6

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: V. N. Zhelyabin, “New examples of simple Jordan superalgebras over an arbitrary field of characteristic zero”, Algebra i Analiz, 24:4 (2012), 84–96; St. Petersburg Math. J., 24:4 (2013), 591–600

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1293

https://www.mathnet.ru/eng/aa/v24/i4/p84

This publication is cited in the following 12 articles:

Zhang Yu., Tang X., “Generalized Derivations and Centroids of Ternary Jordan Superalgebras”, Adv. Appl. Clifford Algebr., 31:3 (2021), 49
V. N. Zhelyabin, “Embedding of jordan superalgebras into the superalgebras of jordan brackets”, Siberian Math. J., 61:1 (2020), 62–75
V. N. Zhelyabin, A. S. Zakharov, “The superalgebras of jordan brackets defined by the $n$ -dimensional sphere”, Siberian Math. J., 61:4 (2020), 632–647
V. N. Zhelyabin, “Structure of some unital simple Jordan superalgebras with associative even part”, Siberian Math. J., 59:6 (2018), 1051–1062
V. N. Zhelyabin, A. S. Zakharov, “Some constructions for Jordan superalgebras with associative even part”, St. Petersburg Math. J., 28:2 (2017), 197–208
V. N. Zhelyabin, “Simple Jordan superalgebras with associative nil-semisimple even part”, Siberian Math. J., 57:6 (2016), 987–1001
V. N. Zhelyabin, “ $(-1,1)$ -superalgebras of vector type: Jordan superalgebras of vector type and their universal envelopings”, Siberian Math. J., 56:3 (2015), 411–424
V. N. Zhelyabin, M. E. Goncharov, “Primer differentsialno prostoi algebry Li, ne yavlyayuscheisya svobodnym modulem nad svoim tsentroidom”, Sib. elektron. matem. izv., 11 (2014), 915–920
V. N. Zhelyabin, “Examples of prime Jordan superalgebras of vector type and superalgebras of Cheng–Kac type”, Siberian Math. J., 54:1 (2013), 33–39
V. N. Zhelyabin, A. A. Popov, I. P. Shestakov, “The coordinate ring of an $n$ -dimensional sphere and some examples of differentially simple algebras”, Algebra and Logic, 52:4 (2013), 277–289
A. S. Zakharov, “Embedding Novikov–Poisson algebras in Novikov–Poisson algebras of vector type”, Algebra and Logic, 52:3 (2013), 236–249
V. N. Zhelyabin, “Jordan superalgebras of vector type and projective modules”, Siberian Math. J., 53:3 (2012), 450–460

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

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