Relative ( n, k) -Weak Cotorsion Modules

Abstract

Let [Formula: see text] be a ring and [Formula: see text], [Formula: see text] be two non-negative integers. As an extension of several known notions, we introduce and study [Formula: see text]-weak cotorsion modules using the class of right [Formula: see text]-modules with [Formula: see text]-weak flat dimensions at most [Formula: see text]. Various examples and applications are also given.