Storing open container of liquid yeast

If I use half a package of liquid yeast to brew a small batch of beer.  Can I simply continue to store the yeast within the fridge?  Keeping in mind it’s only a half package so It would be used up pretty quickly in another batch (1-2 months max).

I would make a starter and store that in fridge. If it went more than a week I would just get a new pitch, personally.

I agree with Jim.  Alternatively, you can collect the slurry after you rack your first beer and reuse that yeast for your next.  It’s as simple as pouring the yeast into a sanitzed jar/container.  I use tupperware one liter bottles.