Operation control circuits start a first operation of any of memory cores in response to a first operation command, start a second operation of any of the memory cores in response to a second operation command, and terminate the first operation and continue the second operation in response to a termination command to terminate operations of the plurality of memory cores. For example, the semiconductor memory is mounted on a system together with a controller accessing the semiconductor memory. The termination of the operation in response to the termination command is judged in accordance with an operation state of the memory core. Accordingly, it is possible to terminate the operation of the memory core requiring the termination of operation without specifying the memory core from outside.