Sentence:  Linnell [25, 1977] proved that if G is a torsion-free abelian by locally finite by super-solvable group and K is any field, then K[G] has no nontrivial <WSD>zero divisors</WSD>. 
Meaning of the word marked with <WSD> tags:  An element "a" of a ring "R" for which there exists some nonzero element "x" ∈ "R" such that either "ax" = 0 or "xa" = 0.