Relative projective modules and relative injective modules
L Mao, N Ding - Communications in Algebra®, 2006 - Taylor & Francis
L Mao, N Ding
Communications in Algebra®, 2006•Taylor & FrancisLet R be a ring, and n and d fixed non-negative integers. An R-module M is called (n, d)-
injective if Ext d+ 1 R (P, M)= 0 for any n-presented R-module P. M is said to be (n, d)-
projective if Ext1 R (M, N)= 0 for any (n, d)-injective R-module N. We use these concepts to
characterize n-coherent rings and (n, d)-rings. Some known results are extended.
injective if Ext d+ 1 R (P, M)= 0 for any n-presented R-module P. M is said to be (n, d)-
projective if Ext1 R (M, N)= 0 for any (n, d)-injective R-module N. We use these concepts to
characterize n-coherent rings and (n, d)-rings. Some known results are extended.
Let R be a ring, and n and d fixed non-negative integers. An R-module M is called (n, d)-injective if Ext d+1 R (P, M) = 0 for any n-presented R-module P. M is said to be (n, d)-projective if Ext1 R (M, N) = 0 for any (n, d)-injective R-module N. We use these concepts to characterize n-coherent rings and (n, d)-rings. Some known results are extended.
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