Flow equivalence of diagram categories and Leavitt path algebras

Several constructions on directed graphs originating in the study of flow equivalence symbolic dynamics (e.g., splittings and delays) are known to preserve Morita class Leavitt path algebras over any coefficient field F. We prove that many these results not only independent F, but largely linear algebra altogether. do this by formulating proving generalisations theorems which category F-vector spaces is replaced an arbitrary with binary coproducts, showing for depend ability form direct sums vector spaces. suggest framework developed paper may be useful studying other problems related algebras.