Translation of "Inverse system" into Bosnian

An indexed family of groups whose index set is a directed poset, together with a set of homomorphisms which are indexed by a subset of the Cartesian product of the index set with itself — which subset corresponds to the ordering relation of the directed poset — such that the domain and codomain of each homomorphism is obtained by reversing its ordered pair of indexes (e.g., f_{i j} : G_j \rightarrow G_i), and such that the homomorphisms compose in a way which reflects the reflexivity and transitivity of the order relation. [..]