A more equitable property system?

[The One and Only...]

I propose that property rights do not extend, in any regard, unto death.

Consider this example. A landlord dies. Under current conceptions of property, his tenement would go to whomever his will is directed; let's say his son. I propose that this tenement, upon the landlord's death, is immediately unclaimed material, and that its constituents have a legitimate right to claim it as their own via appropriation.

By the same token, however, when the small farmer dies, his land is yielded over to his family, as it is they who are appropriating the land for use. In this sense, then, what I propose is very different from a death tax.

I feel that extending property claims beyond death is nonsensical, inequitable, and economically inefficient. I believe it is responsible for innumerable greivances in this world.

Discuss.