Semiconductor memory systems and architectures for shared memory access implements memory-centric structures using a quasi-volatile memory. In one embodiment, a memory processor array includes an array of memory cubes, each memory cube in communication with a processor mini core to form a computational memory. In another embodiment, a memory system includes processing units and one or more mini core-memory module both in communication with a memory management unit. Mini processor cores in each mini core-memory module execute tasks designated to the mini core-memory module by a given processing unit using data stored in the associated quasi-volatile memory circuits of the mini core-memory module.