Projectivity of countable direct products

Abdallah Laradji

doi:10.1007/s10468-009-9171-4

Projectivity of countable direct products

Abdallah Laradji^*

^*Corresponding author for this work

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

Abstract

We show that if the direct product of countably many copies of a noetherian ring R is pure in a direct sum of finitely generated modules, then R satisfies the descending chain condition on two-sided ideals. This extends a recent result of Buchweitz and Flenner.

Original language	English
Pages (from-to)	719-722
Number of pages	4
Journal	Algebras and Representation Theory
Volume	13
Issue number	6
DOIs	https://doi.org/10.1007/s10468-009-9171-4
State	Published - Dec 2010

Bibliographical note

Funding Information:
Acknowledgements The author gratefully acknowledges support from King Fahd University of Petroleum & Minerals.

Keywords

Chain condition
P-Functor
Projective
Pure projective

ASJC Scopus subject areas

General Mathematics

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10.1007/s10468-009-9171-4

Cite this

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title = "Projectivity of countable direct products",

abstract = "We show that if the direct product of countably many copies of a noetherian ring R is pure in a direct sum of finitely generated modules, then R satisfies the descending chain condition on two-sided ideals. This extends a recent result of Buchweitz and Flenner.",

keywords = "Chain condition, P-Functor, Projective, Pure projective",

author = "Abdallah Laradji",

note = "Funding Information: Acknowledgements The author gratefully acknowledges support from King Fahd University of Petroleum \& Minerals.",

year = "2010",

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doi = "10.1007/s10468-009-9171-4",

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AB - We show that if the direct product of countably many copies of a noetherian ring R is pure in a direct sum of finitely generated modules, then R satisfies the descending chain condition on two-sided ideals. This extends a recent result of Buchweitz and Flenner.

KW - Chain condition

KW - P-Functor

KW - Projective

KW - Pure projective

UR - https://www.scopus.com/pages/publications/78149283247

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DO - 10.1007/s10468-009-9171-4

M3 - Article

AN - SCOPUS:78149283247

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JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 6

ER -

Projectivity of countable direct products

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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