A module of cache coherence management by directory, in which each datum stored in cache memory is associated with a state, at least one of which indicates data sharing among a plurality of processors, the module including a storage unit to store a directory containing a list of cache memory addresses, each address possibly associated with a state corresponding to the state of the datum available at this address, and a processing unit configured to update said list, said processing unit being configured so as not to list the address lines related to data associated with the first state.