Abstract

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

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