On the capability of Leibniz algebras

Author:

Khmaladze Emzar1,Kurdiani Revaz2,Ladra Manuel3

Affiliation:

1. The University of Georgia , 77a Kostava Str., 0171; and A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 6 Tamarashvili Str. , Tbilisi 0177 , Georgia

2. I. Javakhishvili Tbilisi State University , 13 University Str. , Tbilisi 0186 , Georgia

3. Department of Mathematics , Institute of Mathematics , Universidade de Santiago de Compostela , 15782 Santiago de Compostela , Spain

Abstract

Abstract We study the capability property of Leibniz algebras via the non-abelian exterior product.

Funder

Ministerio de Economía y Competitividad

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference18 articles.

1. R. E. Antony, G. Donadze, V. P. Sivaprasad and V. Z. Thomas, The second stable homotopy group of the Eilenberg–Maclane space, Math. Z. 287 (2017), no. 3–4, 1327–1342.

2. A. Bloh, On a generalization of the concept of Lie algebra (in Russian), Dokl. Akad. Nauk SSSR 165 (1965), 471-473

3. translation in Sov. Math., Dokl. 6 (1965), 1450-1452.

4. R. D. Blyth, F. Fumagalli and M. Morigi, Some structural results on the non-abelian tensor square of groups, J. Group Theory 13 (2010), no. 1, 83–94.

5. J. M. Casas and E. Khmaladze, On Lie-central extensions of Leibniz algebras, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 111 (2017), no. 1, 39–56.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. q-Crossed modules and q-capability of Lie algebras;Journal of Algebra and Its Applications;2023-11-28

2. Extra-special Leibniz superalgebras;Forum Mathematicum;2023-07-26

3. On the Capability of Hom-Lie Algebras;Mediterranean Journal of Mathematics;2022-03-18

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