期刊
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
卷 29, 期 3, 页码 481-505出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218196719500115
关键词
GDN superalgebra; Poincare-Birkhoff-Witt theorem; nilpotency
类别
资金
- NNSF of China [11571121]
- NSF of Guangdong Province [2017A030313002]
- Science and Technology Program of Guangzhou [201707010137]
- Innovation Project of Graduate School of South China Normal University
- Russian Science Foundation [14-21-00065]
We construct linear bases of free Gelfand-Dorfman-Novikov (GDN) superalgebras. As applications, we prove a Poincare-Birkhoff-Witt (PBW) type theorem, that is, every GDN superalgebra can be embedded into its universal enveloping associative differential supercommuative algebra. An Engel theorem is given.
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