Abstract
ABSTRACT We introduce a new operator – a modified λ-differential operator – from a usual differential operator. We construct the free (modified) λ-differential -algebra on a (modified) differential -module, and apply it to erect the universal enveloping (modified) differential algebra of a (modified) λ-differential Lie -algebra. The corresponding Poincaré-Birchoff-Witt theorems are obtained. The Wronskian envelope of a modified λ-differential Lie -algebra is also constructed.
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