Simply complete hom-Lie superalgebras and decomposition of complete hom-Lie superalgebras
Abstract
Complete hom-Lie superalgebra are considered and some equivalent conditions for a hom-Lie superalgebra to be a complete hom-Lie superalgebra are established. In particular, the relation between decomposition and completeness for a hom-Lie superalgebra is described. Moreover, some conditions that the set of αs-derivations of a hom-Lie superalgebra to be complete and simply complete are obtained.
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