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Commutativity of Rings with Abelian or Solvable Units
1976
Proceedings of the American Mathematical Society
Preserved Fulltext
A ring is called left suitable if idempotents can be lifted modulo every left ideal. These rings include all regular and all semiperfect rings. A left suitable ring with abelian group of units is commutative if it is either semiprime or 2-torsion-free. A left suitable ring with zero Jacobson radical and solvable group of units is commutative if it is 6-torsion-free.
doi:10.2307/2041574
fatcat:ykvuiwxi6zbptd62umf4ykje74