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Simplicial Lie-Rinehart Algebras with Related Structures

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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.
Title: Simplicial Lie-Rinehart Algebras with Related Structures
Description:
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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