Invariant representations are central to representation learning, but uncovering stable and transferable invariants without suppressing task-relevant signals remains a key challenge. Interpreting an environment relies on abstract knowledge structures to understand the current state, which in turn leads to interactions that are essential drivers of learning and knowledge acquisition. This paper proposes that invariant structures exist within the abstract knowledge space, defined by the closure of relational paths within the knowledge space. These partitions form the structural substrate where knowledge is stored and learning occurs, and inter-partition connectors that encode task-relevant transitions enable the distribution of these knowledge partitions. Thus, invariant partitions provide the fundamental primitives of structured representations. This paper formalizes the computational foundation for a structured relational representation of invariant partitions based on closed semirings.