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Generalized Hom–Lie–Rinehart algebras
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The first-order Hom-differential operators on a commutative Hom-associative algebra with unit are introduced. We describe Hom–Lie algebra associated with a module of first-order Hom-differential operators. We give the notion of a generalized Hom–Lie–Rinehart algebra and we show the characterization of generalized Hom–Lie–Rinehart algebras in terms of Hom–Gerstenhaber–Jacobi algebras. We prove the necessary and sufficient condition to obtain a generalized Hom–Lie–Rinehart algebra structure on a Hom–Lie algebroid.
World Scientific Pub Co Pte Ltd
Title: Generalized Hom–Lie–Rinehart algebras
Description:
The first-order Hom-differential operators on a commutative Hom-associative algebra with unit are introduced.
We describe Hom–Lie algebra associated with a module of first-order Hom-differential operators.
We give the notion of a generalized Hom–Lie–Rinehart algebra and we show the characterization of generalized Hom–Lie–Rinehart algebras in terms of Hom–Gerstenhaber–Jacobi algebras.
We prove the necessary and sufficient condition to obtain a generalized Hom–Lie–Rinehart algebra structure on a Hom–Lie algebroid.
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