We show that some basic results on the K–theory of noetherian rings can be extended to coherent rings.

In this paper, we introduce and study the class [Formula: see text]-[Formula: text]-ML of text]-Mittag-Leffler modules with respect to all flat modules. We show that a ring text] is text]-coherent if only every ideal in text]-ML, closed under submodules. As an application, obtain text]-version Chase Theorem: any direct product copies text]-flat, text]-modules text]-flat. Consequently, provide a...