I do not know if this is a common/standard construction, so here is my motivation for this question. From http://arxiv.org/abs/1002.1709" [Broken] page 29:

Is there a word for when there is such a one-to-one correspondence?

After rereading this today, I think he might just be saying there is a one-to-one correspondence between ideals and theta-stable U(1)^2-invariant A-modules specifically, not ALL A-modules. So this question probably does not have an answer!

For a left R-module M, you can identify certain submodules of M that are similar to that of prime ideals in a ring, R. With that definition there exists conditions on the module M which imply that there is a one-to-one correspondence between isomorphism classes of indecomposable M-injective modules and prime M-ideals.