??so what about some concept of "local module of local ring" ?? .... ??not finding any relevant discussion so far... ??seems to be something in noncommutative case but doesn't seem relevant ...

??so what about "geometric" case?? ... and possible relationship to "quasicoherent module" or something ... ???....

??so are all locally ringed toposes "small zariski toposes" ? .... ??... or something ... ???...