zero divisor noun2 •An element a of a ring R for which there exists some nonzero element x ∈ R such that either ax = 0 or xa = 0.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 zero divisors. — 1984 •A nonzero element a of a ring R for which there exists some nonzero element x ∈ R such that either ax = 0 or xa = 0. formszero divisors
