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All coboundary Lie bialgebras and their corresponding Poisson--Lie structuresare constructed for the oscillator algebra generated by $\{\aa,\ap,\am,\bb\}$.Quantum oscillator algebras are derived from these bialgebras by using theLyakhovsky and Mudrov formalism and, for some cases, quantizations at bothalgebra and group levels are obtained, including their universal $R$--matrices.Comment: 19 pages, LaTeX; revised version to appear in J. Phys. A;  quantization of bialgebras is complete

Lie bialgebra quantizations of the oscillator algebra and their universalR-matrices