Abstract

The paper studies the structure of restricted hom-Lie algebras. More specifically speaking, we first give the equivalent definition of restricted hom-Lie algebras. Second, we obtain some properties of p-mappings and restrictable hom-Lie algebras. Finally, the cohomology of restricted hom-Lie algebras is researched. 2000 AMS Classification: 17A60, 17B56, 17B50

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