Legal Question in Wills and Trusts in California

Inherited assets are separate property of the inheriting spouse.

No. Inheritances are separate property unless combined with community property in such a way as to evidence a gift to the community, or to commingle them in such a way as to make them inseparable from the community assets. It's a lot more complicated than that as to exactly when or how they might lose their separate status, but that's the basics.