Note on Non-Commutative Semi-Local Rings
- 1 August 1960
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 17, 161-166
- https://doi.org/10.1017/s0027763000002117
Abstract
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 thatfor any finitely generated right module M over a complete right semi-local ring Λ where J is the Jacobson radical of Λ.Keywords
This publication has 5 references indexed in Scilit:
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