This article is cited in 2 papers

Jordan superalgebras of vector type and projective modules

V. N. Zhelyabin<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University, Novosibirsk

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

Keywords: Jordan superalgebra of vector type, differentiably simple algebra, integral domain, field of quotients, polynomial algebra, projective module, Picard group.

UDC: 512.554

Received: 28.03.2011

 English version: Siberian Mathematical Journal, 2012, 53:3, 450–460

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