Completion of Modules over Serial, Right Noetherian Rings |
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Authors: | A I Generalov I M Zilberbord |
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Institution: | (1) St.Petersburg State University, Russia |
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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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