"Roitman's theorem", introduced by , asserts that, for "l" prime to char("k"), the Albanese map induces an isomorphism on the "l"-torsion subgroups. Replacing the Chow group by Suslin–Voevodsky algebraic singular homology after the introduction of Motivic cohomology "Roitman's theorem" has been obtained and reformulated in the motivic framework. For example, a similar result holds for non-singular quasi-projective varieties. Further versions of "Roitman's theorem" are available for normal schemes. Actually, the most general formulations of "Roitman's theorem" (i.e. homological, cohomological, and Borel–Moore) involve the motivic Albanese complex formula_26 and have been proven by Luca Barbieri-Viale and Bruno Kahn (see the references III.13).