Standard

Some constructions for Jordan superalgebras with associative even part. / Zhelyabin, V. N.; Zakharov, A. S.

In: St. Petersburg Mathematical Journal, Vol. 28, No. 2, 04.2017, p. 197-208.

Research output: Contribution to journal › Article › peer-review

Harvard

Zhelyabin, VN & Zakharov, AS 2017, 'Some constructions for Jordan superalgebras with associative even part', St. Petersburg Mathematical Journal, vol. 28, no. 2, pp. 197-208. https://doi.org/10.1090/spmj/1446

APA

Zhelyabin, V. N., & Zakharov, A. S. (2017). Some constructions for Jordan superalgebras with associative even part. St. Petersburg Mathematical Journal, 28(2), 197-208. https://doi.org/10.1090/spmj/1446

Vancouver

Zhelyabin VN, Zakharov AS. Some constructions for Jordan superalgebras with associative even part. St. Petersburg Mathematical Journal. 2017 Apr;28(2):197-208. doi: 10.1090/spmj/1446

Author

Zhelyabin, V. N. ; Zakharov, A. S. / Some constructions for Jordan superalgebras with associative even part. In: St. Petersburg Mathematical Journal. 2017 ; Vol. 28, No. 2. pp. 197-208.

BibTeX

@article{666d5ab2698a4caa8863324849b6d31e,
title = "Some constructions for Jordan superalgebras with associative even part",
abstract = "A construction is presented that enables one to build Jordan superalgebras by using Jordan superalgebras with associative even part. This is a generalization of a known construction of the addition of an odd variable in the case of superalgebras of Jordan brackets. Previously, this construction was described for simple special Jordan algebras with associative even part.",
keywords = "Differential algebra, Jordan superalgebra, Poisson bracket, Projective module, Superalgebra of vector type, projective module, superalgebra of vector type, EXAMPLES, differential algebra",
author = "Zhelyabin, {V. N.} and Zakharov, {A. S.}",
year = "2017",
month = apr,
doi = "10.1090/spmj/1446",
language = "English",
volume = "28",
pages = "197--208",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Some constructions for Jordan superalgebras with associative even part

AU - Zhelyabin, V. N.

AU - Zakharov, A. S.

PY - 2017/4

Y1 - 2017/4

N2 - A construction is presented that enables one to build Jordan superalgebras by using Jordan superalgebras with associative even part. This is a generalization of a known construction of the addition of an odd variable in the case of superalgebras of Jordan brackets. Previously, this construction was described for simple special Jordan algebras with associative even part.

AB - A construction is presented that enables one to build Jordan superalgebras by using Jordan superalgebras with associative even part. This is a generalization of a known construction of the addition of an odd variable in the case of superalgebras of Jordan brackets. Previously, this construction was described for simple special Jordan algebras with associative even part.

KW - Differential algebra

KW - Jordan superalgebra

KW - Poisson bracket

KW - Projective module

KW - Superalgebra of vector type

KW - projective module

KW - superalgebra of vector type

KW - EXAMPLES

KW - differential algebra

UR - http://www.scopus.com/inward/record.url?scp=85013477806&partnerID=8YFLogxK

U2 - 10.1090/spmj/1446

DO - 10.1090/spmj/1446

M3 - Article

AN - SCOPUS:85013477806

VL - 28

SP - 197

EP - 208

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -

ID: 9045825