Restricted and quasi-toral restricted Lie-Rinehart algebras

• Autorzy: Bing Sun , Liangyun Chen
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Restricted Lie-Rinehart algebras; Restrictable Lie-Rinehart algebras; Quasi-toral restricted Lie-Rinehart algebras

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-02-04

zaakceptowano

2015-08-20

online

2015-09-25

Twórcy

autor

Bing Sun

• School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China

autor

Liangyun Chen

• School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0049