Noetherian completion and PI rings

Amiram Braun

doi:10.1007/s11856-015-1226-0

Noetherian completion and PI rings

Amiram Braun

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let R be a Noetherian PI ring with a two-sided ideal I. Let $$\hat R$$ be the I-adic completion of R. We establish a criterion which determines when $$\hat R$$ is Noetherian, thus answering a question of A. Goldie. As a consequence a question of J. McConnell is also answered.

Original language	English
Pages (from-to)	487-506
Number of pages	20
Journal	Israel Journal of Mathematics
Volume	209
Issue number	1
DOIs	https://doi.org/10.1007/s11856-015-1226-0
State	Published - 1 Sep 2015

Bibliographical note

Publisher Copyright:
© 2015, Hebrew University of Jerusalem.

ASJC Scopus subject areas

General Mathematics

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10.1007/s11856-015-1226-0

Cite this

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title = "Noetherian completion and PI rings",

abstract = "Let R be a Noetherian PI ring with a two-sided ideal I. Let \$\$\textbackslash{}hat R\$\$ be the I-adic completion of R. We establish a criterion which determines when \$\$\textbackslash{}hat R\$\$ is Noetherian, thus answering a question of A. Goldie. As a consequence a question of J. McConnell is also answered.",

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AB - Let R be a Noetherian PI ring with a two-sided ideal I. Let $$\hat R$$ be the I-adic completion of R. We establish a criterion which determines when $$\hat R$$ is Noetherian, thus answering a question of A. Goldie. As a consequence a question of J. McConnell is also answered.

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JO - Israel Journal of Mathematics

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Noetherian completion and PI rings

Abstract

Bibliographical note

ASJC Scopus subject areas

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