Algebras of Jordan brackets and generalized Poisson algebras

被引：5
|
作者：
Kaygorodov, Ivan [1 ,2 ]
机构：
[1] Univ Fed ABC, CMCC, Santo Andre, Brazil
[2] Siberian State Aerosp Univ, Krasnoyarsk, Russia
来源：
LINEAR & MULTILINEAR ALGEBRA | 2017年 / 65卷 / 06期
基金：
巴西圣保罗研究基金会;
关键词：
Poisson algebra; identity; algebra of Jordan brackets; SUPERALGEBRAS; RINGS;
D O I：
10.1080/03081087.2016.1229257
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct bases for free unital generalized Poisson superalgebras and for free unital superalgebras of Jordan brackets. Also, we prove an analogue of Farkas' theorem for PI unital generalized Poisson algebras and PI unital algebras of Jordan brackets. Relations between generic Poisson superalgebras and superalgebras of Jordan brackets are studied.
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页码：1142 / 1157
页数：16
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