Integrated circuit with memory having a current limiting switch

1. An integrated circuit having a memory cell, the memory cell comprising:

a programmable resistivity layer;

a writing line; and

a switch arranged between the resistivity layer and the writing line, the switch comprising a control input connected to a select line, the switch limiting a current through the resistivity layer for a write operation.

2. The integrated circuit of claim 1 , wherein the switch provides a self-limiting write operation.