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Letbe a commutative noetherian local ring with-adic topology,  I  an ideal of  R . We investigate coartinianness ofand, show that the  R -moduleis  I -coartinian if  M  is a linearly compact  I -coartinian  R -module and  N  is an  I -cofinite  R -module of dimension at most 1; the  R -moduleis  I -coartinian in the case  M  is semi-discrete linearly compact  I -coartinian and  N  is finitely generated with dimension at most 2.

Coartinianness of extension and torsion functors