A dynamic random access memory (DRAM) component (e.g., module or integrated circuit) can be configured to have multiple rows in the same bank open concurrently. The controller of the component divides the address space of the banks into segments based on row address ranges. These row address ranges do not necessarily correspond to row address ranges of the bank's subarrays (a.k.a. memory array tiles—MATs). When a command is sent to open a row, the controller marks a plurality of the segments as blocked. The controller thereby tracks address ranges in a bank where it will not open a second row unless and until the first row is closed. The memory component may store information about which, and how many, segments should be blocked in response to opening a row. This information may be read by the controller during initialization.