Simplicial Lie-Rinehart Algebras with Related Structures

In this paper, simplicial Lie-Rinehart algebras and Lie-Rinehart cat^1-algebras will be defined. With the help of these definitions, the relations between Lie-Rinehart crossed modules, cat^1-algebras, and simplicial Lie-Rinehart algebras will be explained.

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Publication Details

Journal
Ordu Üniversitesi Bilim ve Teknoloji Dergisi
Published
2025-06-27
DOI
https://doi.org/10.54370/ordubtd.1581038
Primary Topic
Advanced Topics in Algebra
Type
article
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article

Simplicial Lie-Rinehart Algebras with Related Structures

Ali AYTEKİN, Mahmut Koçak
Ordu Üniversitesi Bilim ve Teknoloji Dergisi
Advanced Topics in Algebra
article

Simplicial Lie-Rinehart Algebras with Related Structures

Ali AYTEKİN, Mahmut Koçak
article en

Abstract

In this paper, simplicial Lie-Rinehart algebras and Lie-Rinehart cat^1-algebras will be defined. With the help of these definitions, the relations between Lie-Rinehart crossed modules, cat^1-algebras, and simplicial Lie-Rinehart algebras will be explained.

Ordu Üniversitesi Bilim ve Teknoloji DergisiVol. 15(1)
Pamukkale University (TR), Eskişehir Osmangazi University (TR)
Openalex Percentile: Top 78%
Advanced Topics in Algebra
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Simplicial Lie-Rinehart Algebras with Related Structures — Ali AYTEKİN, Mahmut Koçak · Ordu Üniversitesi Bilim ve Teknoloji Dergisi (2025) | TGRS Research Map | TGRS