Abstract
Linear topology defined on an arbitrary right module over a right Noetherian serial ring R enables one to describe the reduced, pure injective R-modules as modules that are complete in this topology. With the use of the completion of modules, the pure injective envelope of any right R-module is constructed. Bibliography: 8 titles.
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Generalov, A.I., Zilberbord, I.M. Completion of Modules over Serial, Right Noetherian Rings. Journal of Mathematical Sciences 120, 1583–1590 (2004). https://doi.org/10.1023/B:JOTH.0000017887.20917.3d
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DOI: https://doi.org/10.1023/B:JOTH.0000017887.20917.3d