A variation of supplemented modules
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Over a general ring, an R-module is omega-supplemented if and only if amply omega-supplemented. It is proved that over a local Dedekind domain, all modules are omega-supplemented and over a non-local Dedekind domain, an R-module M is omega-supplemented if and only if Soc(M) << M or M = S-0 circle plus (circle plus(i is an element of I) K), where S-0 is a torsion, semisimple submodule of M and K is the field of quotients of R.