Sadro, Paul2024-08-152024-08-1520012001https://hdl.handle.net/1828/19584The Hall basis of the free Lie algebra has msp1red extensive research into the module properties of the free Lie algebra The (Є, G)-L1e coloralgebra is a generalization of the L1e algebra Naturally, many of the results for L1e algebras can be generalized for (Є: G)-L1e coloralgebras In particular, the free (Є, G)-L1e coloralgebra and an analogue of the Hall basis can be constructed.58 pagesAvailable to the World Wide WebThesis