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Note on Non-Commutative Semi-Local Rings

Published online by Cambridge University Press:  22 January 2016

Yukitoshi Hinohara
Yukitoshi Hinohara*
Affiliation:
Tokyo Metroporitan University
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Our aim in this note is to generalize some topological results of commutative noetherian rings to non-commutative rings. As a supplemental remark of [2] we prove in § 1 that any right ideal of a complete right semi-local ring is closed, and that

for any finitely generated right module M over a complete right semi-local ring Λ where J is the Jacobson radical of Λ.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 17 , August 1960 , pp. 161 - 166
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1960

References

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