Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hom-Lie-Rinehart Algebras   We introduce hom-Lie-Rinehart algebras as an algebraic analogue of hom-Lie
algebroids, and systematically describe a cohomology complex by considering
coefficient modules. We define the notion of extensions for hom-Lie-Rinehart
algebras. In the sequel, we deduce a characterisation of low dimensional
cohomology spaces in terms of the group of automorphisms of certain abelian
extension and the equivalence classes of those abelian extensions in the
category of hom-Lie-Rinehart algebras, respectively. We also construct a
canonical example of hom-Lie-Rinehart algebra associated to a given Poisson
algebra and an automorphism.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom