Category of n-weak injective and n-weak flat modules with respect to special super presented modules
Let R be a ring and n, k two non-negative integers. In this paper, we introduce the concepts
of n-weak injective and n-weak flat modules and via the notion of special super finitely
presented modules, we obtain some characterizations of these modules. We also
investigate two classes of modules with richer contents, namely WI kn (R) and WF kn (R op)
which are larger than that of modules with weak injective and weak flat dimensions at most
k. Then over any arbitrary ring, we study the existence of WI kn (R) and WF kn (R op) covers …
of n-weak injective and n-weak flat modules and via the notion of special super finitely
presented modules, we obtain some characterizations of these modules. We also
investigate two classes of modules with richer contents, namely WI kn (R) and WF kn (R op)
which are larger than that of modules with weak injective and weak flat dimensions at most
k. Then over any arbitrary ring, we study the existence of WI kn (R) and WF kn (R op) covers …
Abstract
Let R be a ring and n, k two non-negative integers. In this paper, we introduce the concepts of n-weak injective and n-weak flat modules and via the notion of special super finitely presented modules, we obtain some characterizations of these modules. We also investigate two classes of modules with richer contents, namely and which are larger than that of modules with weak injective and weak flat dimensions at most k. Then over any arbitrary ring, we study the existence of and covers and pre-envelopes.
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