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.
@article{bwmeta1.element.doi-10_1515_math-2015-0049,
author = {Bing Sun and Liangyun Chen},
title = {Restricted and quasi-toral restricted Lie-Rinehart algebras},
journal = {Open Mathematics},
volume = {13},
year = {2015},
zbl = {06508438},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0049}
}
Bing Sun; Liangyun Chen. Restricted and quasi-toral restricted Lie-Rinehart algebras. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0049/
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