Restricted and quasi-toral restricted Lie-Rinehart algebras

In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra. Moreover, we obtain some properties of p-mappings and restrictable Lie-Rinehart algebras. Finally, we give some su...

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Main Authors:	Sun Bing, Chen Liangyun
Format:	Article
Language:	English
Published:	De Gruyter 2015-09-01
Series:	Open Mathematics
Subjects:	restricted lie-rinehart algebras restrictable lie-rinehart algebras quasi-toral restricted lie-rinehart algebras
Online Access:	https://doi.org/10.1515/math-2015-0049

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spelling	doaj-1ba61d3cb8764cd29ea031728a9bbd7b2021-09-06T19:20:07ZengDe GruyterOpen Mathematics2391-54552015-09-0113110.1515/math-2015-0049math-2015-0049Restricted and quasi-toral restricted Lie-Rinehart algebrasSun Bing0Chen Liangyun1School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, ChinaIn this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra. Moreover, we obtain some properties of p-mappings and restrictable Lie-Rinehart algebras. Finally, we give some sufficient conditions for the commutativity of quasi-toral restricted Lie-Rinehart algebras and study how a quasi-toral restricted Lie-Rinehart algebra with zero center and of minimal dimension should be.https://doi.org/10.1515/math-2015-0049restricted lie-rinehart algebrasrestrictable lie-rinehart algebrasquasi-toral restricted lie-rinehart algebras
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sun Bing Chen Liangyun
spellingShingle	Sun Bing Chen Liangyun Restricted and quasi-toral restricted Lie-Rinehart algebras Open Mathematics restricted lie-rinehart algebras restrictable lie-rinehart algebras quasi-toral restricted lie-rinehart algebras
author_facet	Sun Bing Chen Liangyun
author_sort	Sun Bing
title	Restricted and quasi-toral restricted Lie-Rinehart algebras
title_short	Restricted and quasi-toral restricted Lie-Rinehart algebras
title_full	Restricted and quasi-toral restricted Lie-Rinehart algebras
title_fullStr	Restricted and quasi-toral restricted Lie-Rinehart algebras
title_full_unstemmed	Restricted and quasi-toral restricted Lie-Rinehart algebras
title_sort	restricted and quasi-toral restricted lie-rinehart algebras
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2015-09-01
description	In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra. Moreover, we obtain some properties of p-mappings and restrictable Lie-Rinehart algebras. Finally, we give some sufficient conditions for the commutativity of quasi-toral restricted Lie-Rinehart algebras and study how a quasi-toral restricted Lie-Rinehart algebra with zero center and of minimal dimension should be.
topic	restricted lie-rinehart algebras restrictable lie-rinehart algebras quasi-toral restricted lie-rinehart algebras
url	https://doi.org/10.1515/math-2015-0049
work_keys_str_mv	AT sunbing restrictedandquasitoralrestrictedlierinehartalgebras AT chenliangyun restrictedandquasitoralrestrictedlierinehartalgebras
_version_	1717777251016114176

Restricted and quasi-toral restricted Lie-Rinehart algebras

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