I've been recharging alkaline cells for at least 30 years. All alkaline batteries are rechargeable and most non alkaline are too. Been using the same charger for those same 30 years. IIRC I got it radio shack. GN Deluxe Universal WY-108. It does AAA-D cells, 9V, and even button cells. Yes, you can recharge lithium button cells too. For alkaline it's best to not run them below 1.3V. I've recharged some many times over many years. But I've forgot a few in the charger and they would burst after a while. A real mess to clean up, but nothing else.. Not sure if the newer models do better monitoring voltage, but I'd think so. Mine will just keep pumping juice into them until they burst.Shouldn't charge them any higher than ~1.65V - 1.7V while charging. Higher than that risk rupture.
Search ebay for alkaline battery charger. FWIW, I've also charged alkaline batteries using a nicad/nimh charger that I ordered by mistake, but the one I have has to be done in pairs and I don't use it.