Higher Dimensional Leibniz-Rinehart Algebras

Mahmut Koçak; Selim Çetin

doi:10.33187/jmsm.1466687

EN

Higher Dimensional Leibniz-Rinehart Algebras

Abstract

In this article, we delve into the realm of higher dimensional Leibniz-Rinehart algebras, exploring the intricate structures of Leibniz algebroids and their applications. By generalizing the concept of Lie algebroids and incorporating a Leibniz rule for the anchor map, the study sheds light on the fundamental principles underlying connections and underscores their significance. Through a comprehensive analysis of Leibniz-Rinehart algebras, this study paves the way for advancements and applications, offering a deeper understanding of the intricate relationship between algebraic and geometric structures.

Keywords

Crossed module, Leibniz algebra, Leibniz algebroid, Leibniz-Rinehart algebra, Lie-Rineart algebra

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Mahmut Koçak
0000-0001-7774-0144
Türkiye

Selim Çetin ^*
0000-0002-9017-1465
Türkiye

Early Pub Date

May 8, 2024

Publication Date

May 8, 2024

Submission Date

April 8, 2024

Acceptance Date

May 8, 2024

Published in Issue

Year 2024 Volume: 7 Number: 1

DOI

https://doi.org/10.33187/jmsm.1466687

IZ

https://izlik.org/JA94WK77SP

APA

Koçak, M., & Çetin, S. (2024). Higher Dimensional Leibniz-Rinehart Algebras. Journal of Mathematical Sciences and Modelling, 7(1), 45-50. https://doi.org/10.33187/jmsm.1466687

AMA

1.Koçak M, Çetin S. Higher Dimensional Leibniz-Rinehart Algebras. Journal of Mathematical Sciences and Modelling. 2024;7(1):45-50. doi:10.33187/jmsm.1466687

Chicago

Koçak, Mahmut, and Selim Çetin. 2024. “Higher Dimensional Leibniz-Rinehart Algebras”. Journal of Mathematical Sciences and Modelling 7 (1): 45-50. https://doi.org/10.33187/jmsm.1466687.

EndNote

Koçak M, Çetin S (May 1, 2024) Higher Dimensional Leibniz-Rinehart Algebras. Journal of Mathematical Sciences and Modelling 7 1 45–50.

IEEE

[1]M. Koçak and S. Çetin, “Higher Dimensional Leibniz-Rinehart Algebras”, Journal of Mathematical Sciences and Modelling, vol. 7, no. 1, pp. 45–50, May 2024, doi: 10.33187/jmsm.1466687.

ISNAD

Koçak, Mahmut - Çetin, Selim. “Higher Dimensional Leibniz-Rinehart Algebras”. Journal of Mathematical Sciences and Modelling 7/1 (May 1, 2024): 45-50. https://doi.org/10.33187/jmsm.1466687.

JAMA

1.Koçak M, Çetin S. Higher Dimensional Leibniz-Rinehart Algebras. Journal of Mathematical Sciences and Modelling. 2024;7:45–50.

MLA

Koçak, Mahmut, and Selim Çetin. “Higher Dimensional Leibniz-Rinehart Algebras”. Journal of Mathematical Sciences and Modelling, vol. 7, no. 1, May 2024, pp. 45-50, doi:10.33187/jmsm.1466687.

Vancouver

1.Mahmut Koçak, Selim Çetin. Higher Dimensional Leibniz-Rinehart Algebras. Journal of Mathematical Sciences and Modelling. 2024 May 1;7(1):45-50. doi:10.33187/jmsm.1466687