Cancellation Modules and Related Modules
D. D. Anderson · 2019
Let R be a commutative ring and M an R ‐module. Then M is a ( weak ) cancellation R-module if for ideals I and J of R, IM = JM implies I = J ( I + 0 : M = J + 0 : M ) and M is a restricted cancellation R-module if 0 ≠ IM = JM implies I = J . We study cancellation modules, weak cancellation modules, and restricted cancellation modules.