V. N. Zhelyabin, “<nobr>$(-1,1)$</nobr>-superalgebras of vector type: Jordan superalgebras of vector type and their universal envelopings”, Sibirsk. Mat. Zh., 2015, Volume 56, Number 3,Pages <nobr>520

This article is cited in 1 paper

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

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

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.

UDC: 512.554

Received: 16.09.2014

DOI: 10.17377/smzh.2015.56.305