Abstract
Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules are I-cofinite for all if M and N are I-cofinite R-modules and N is of dimension at most 1. Also, it is shown that R-modules are I-weakly cofinite for all if M and N are I-cofinite R-modules, N is of dimension at most 2, and R is a local ring.
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