Yes, it's probably related to the Alzheimer's. Rummaging behavior is very common. She may be looking for something she can't quite remember, or for something real. She may be trying
First, evaluate her environment for things that could be dangerous, and put them away. For example, put safety locks on the knife drawer in the kitchen.
Next, let her mood guide your response. If she's just casually looking through things, and she seems calm or even seems to be enjoying it, then it's probably a good activity for her (even if it's getting on your nerves a bit). I'd leave it alone, or give her items she enjoys sorting through -- socks, for example, or other clothing. Someone with Alzheimer's often wants to contribute to the household. As long as your mom's behavior isn't hurting her or putting her at risk, it's OK.
However, if she seems upset or anxious while she's rummaging, you have to play detective to figure out what's really going on. As is true for each of us, the behaviors of people with Alzheimer's are their way of communicating. Could she actually be looking for something? Or is she bored and looking for something to do? People with Alzheimer's have trouble structuring their day. Is she left to herself too much? Maybe she could benefit from adult daycare or from a visitor who'll keep her engaged and occupied.
It may be tricky to discover what motivates your mom's behavior, and there may be more than one answer. But if her rummaging seems fretful, it's worth trying to interpret the message behind it.
to organize, or just attempting to stay busy.