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Noncommutative Jordan superalgebras of degree n >= 2 Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2010, Volume: 49, Number: 1, Pages: 18-42 Pages count : 25 DOI: 10.1007/s10469-010-9077-6
Authors Pozhidaev A.P. 1 , Shestakov P. 1,2
Affiliations
1 Sobolev Institute of Mathematics
2 Instituto De Matemática E Estatística, Universidade de São Paulo

Abstract: We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative Jordan superalgebra of characteristic 0 and degree n > 1 is simple. Modulo a "nodal" case, we classify central simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0.
Cite: Pozhidaev A.P. , Shestakov P.
Noncommutative Jordan superalgebras of degree n >= 2
Algebra and Logic. 2010. V.49. N1. P.18-42. DOI: 10.1007/s10469-010-9077-6 WOS Scopus РИНЦ OpenAlex
Original: Пожидаев А.П. , Шестаков И.П.
Некоммутативные йордановы супералгебры степени n>2
Алгебра и логика. 2010. Т.49. №1. С.26–59. РИНЦ
Identifiers:
Web of science: WOS:000276493500003
Scopus: 2-s2.0-77950691182
Elibrary: 15313483
OpenAlex: W2015678526
Citing:
DB Citing
Web of science 7
Scopus 12
Elibrary 11
OpenAlex 15
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