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Some constructions for Jordan superalgebras with associative even part. / Zhelyabin, V. N.; Zakharov, A. S.
в: St. Petersburg Mathematical Journal, Том 28, № 2, 04.2017, стр. 197-208.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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