A memory structure formed above a semiconductor substrate includes two or more modules each formed on top of each other separated by a layer of global interconnect conductors. Each memory module may include a 3-dimensional array of memory transistors organized as NOR array strings. Each 3-dimensional array of memory transistors is provided vertical local word lines as gate electrodes to the memory transistors. These vertical local word lines are connected by the layers of global interconnect conductors below and above the 3-dimensional array of memory transistors to circuitry formed in the semiconductor substrate.