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We investigate and characterize several kinds of elements such as units,idempotents, von Neumann regular, $\pi$-regular and clean elements for skew PBWextensions over weak compatible rings. We also study the notions of Gelfand andHarmonic rings for these families of algebras. The results presented hereextend those corresponding in the literature for commutative and noncommutativerings of polynomial type.

On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings