Abstract
A complex C of R-modules is called #-injective if all terms Ci are injective R-modules for i ∈ ℤ. In this paper, we first give some characterizations and properties of #-injective complexes. Some relations between #-injective (pre)envelopes of a complex X and injective (pre)envelopes of the R-modules Xi are also given. Finally, we study the [Formula: see text]-dimensions of complexes, where [Formula: see text] is the class of #-injective complexes.
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