Semi-prime Noetherian rings of injective dimension one

AW Chatters

doi:10.1017/S0017089505002569

Semi-prime Noetherian rings of injective dimension one

AW Chatters

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

Abstract

Let R be a semi-prime Noetherian ring of injective dimension 1. Let P be a minimal prime ideal of R. In this paper it is shown that R/P need not have injective dimension 1. Necessary and sufficient conditions are given for R/P to have injective dimension 1.

Translated title of the contribution	Semi-prime Noetherian rings of injective dimension one
Original language	English
Pages (from-to)	335 - 338 Part 2
Number of pages	4
Journal	Glasgow Mathematical Journal
Volume	47
DOIs	https://doi.org/10.1017/S0017089505002569
Publication status	Published - May 2005

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Publisher: Cambridge Univ Press
Other identifier: IDS number 051YK

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10.1017/S0017089505002569

http://www.journals.cambridge.org/download.php?file=%2FGMJ%2FGMJ47_02%2FS0017089505002570a.pdf&code=9c00a46f266e42e8e4a6c55bf429b91c

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title = "Semi-prime Noetherian rings of injective dimension one",

abstract = "Let R be a semi-prime Noetherian ring of injective dimension 1. Let P be a minimal prime ideal of R. In this paper it is shown that R/P need not have injective dimension 1. Necessary and sufficient conditions are given for R/P to have injective dimension 1.",

author = "AW Chatters",

note = "Publisher: Cambridge Univ Press Other identifier: IDS number 051YK",

year = "2005",

month = may,

doi = "10.1017/S0017089505002569",

language = "English",

volume = "47",

pages = "335 -- 338 Part 2",

journal = "Glasgow Mathematical Journal",

issn = "1469-509X",

publisher = "Cambridge University Press",

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T1 - Semi-prime Noetherian rings of injective dimension one

AU - Chatters, AW

N1 - Publisher: Cambridge Univ Press Other identifier: IDS number 051YK

PY - 2005/5

Y1 - 2005/5

N2 - Let R be a semi-prime Noetherian ring of injective dimension 1. Let P be a minimal prime ideal of R. In this paper it is shown that R/P need not have injective dimension 1. Necessary and sufficient conditions are given for R/P to have injective dimension 1.

AB - Let R be a semi-prime Noetherian ring of injective dimension 1. Let P be a minimal prime ideal of R. In this paper it is shown that R/P need not have injective dimension 1. Necessary and sufficient conditions are given for R/P to have injective dimension 1.

U2 - 10.1017/S0017089505002569

DO - 10.1017/S0017089505002569

M3 - Article (Academic Journal)

SN - 1469-509X

VL - 47

SP - 335 - 338 Part 2

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

ER -

Semi-prime Noetherian rings of injective dimension one

Abstract

Bibliographical note

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