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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 3, Pages 520–536
DOI: https://doi.org/10.17377/smzh.2015.56.305 (Mi smj2657) 		 
This article is cited in 1 scientific paper (total in 1 paper)

$(-1,1)$-superalgebras of vector type: Jordan superalgebras of vector type and their universal envelopings

V. N. Zhelyabinab

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2015.56.305
Abstract: We establish a connection between the integral domains, the projective finitely generated modules over them, the derivations of an integral domain and the $(-1,1)$-superalgebras of vector type. We study the properties of the universal associative envelopings of the simple Jordan superalgebras of vector type.
Keywords: Jordan superalgebra, $(-1,1)$-superalgebra, twisted superalgebra of vector type, differentiably simple algebra, projective module, universal envelopings.
Received: 16.09.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 3, Pages 411–424
DOI: https://doi.org/10.1134/S0037446615030052
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: V. N. Zhelyabin, “$(-1,1)$-superalgebras of vector type: Jordan superalgebras of vector type and their universal envelopings”, Sibirsk. Mat. Zh., 56:3 (2015), 520–536; Siberian Math. J., 56:3 (2015), 411–424
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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