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Jordan superalgebras of vector type and projective modules

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Abstract

We study connection between the Jordan superalgebras of vector type and the finitely generated projective modules of rank 1 over an integral domain.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk, Russia

    V. N. Zhelyabin

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  1. V. N. Zhelyabin
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Correspondence to V. N. Zhelyabin.

Additional information

Dedicated to the 90th anniversary of the birth of Anatoliĭ Illarionovich Shirshov.

Original Russian Text Copyright © 2012 Zhelyabin V. N.

The author was supported by the Russian Foundation for Basic Research (Grant 11-01-00938-a) and the Federal Target Program “Scientific and Educational Personnel of Innovation Russia” for 2009–2013 (State Contracts 02.740.11.0429, 02.740.11.5191, and 14.740.11.0346).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 3, pp. 566–579, May–June, 2012.

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Zhelyabin, V.N. Jordan superalgebras of vector type and projective modules. Sib Math J 53, 450–460 (2012). https://doi.org/10.1134/S0037446612020267

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  • DOI: https://doi.org/10.1134/S0037446612020267

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