In this paper, we adapt the result of M. Tressl (see [3]) in order to show that there is a theory (UCLie,m) of Lie differential fields of characteristic zero, which serves as a model companion for every theory of large and Lie differential fields extending a model complete theory of pure fields. It allows us to introduce the Lie counterpart of classical theories of differential fields in severa...

In this paper, we introduce the notion of BiHom-Lie conformal superalgebras. We develop its representation theory and define cohomology group with coefficients in a module. Finally, derivations superalgebras study some their properties.

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