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Communications in Algebra Volume 46, 2018 - Issue 11
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Articles

Enveloping algebras of double Poisson-Ore extensions

Jiafeng LüDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, China
,
Sei-Qwon OhDepartment of Mathematics, Chungnam National University, Daejeon, Korea
,
Xingting WangDepartment of Mathematics, Temple University, Philadelphia, USACorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-6485-0472
ORCID Icon &
Xiaolan YuDepartment of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, China
Pages 4891-4904 | Received 23 Mar 2017, Published online: 23 Apr 2018
 
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ABSTRACT

It is proved that the Poisson enveloping algebra of a double Poisson-Ore extension is an iterated double Ore extension. As an application, properties that are preserved under iterated double Ore extensions are invariants of the Poisson enveloping algebra of a double Poisson-Ore extension.

2010 Mathematics Subject Classification:

Acknowledgments

The authors would appreciate a referee for informing references [Citation4] and [Citation5] while it is revised.

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