An Elementary Proof for the Krull Dimension of a Polynomial Ring. Issue 7 (9th August 2018)
- Record Type:
- Journal Article
- Title:
- An Elementary Proof for the Krull Dimension of a Polynomial Ring. Issue 7 (9th August 2018)
- Main Title:
- An Elementary Proof for the Krull Dimension of a Polynomial Ring
- Authors:
- Nathanson, Melvyn B.
- Abstract:
- Abstract: It is proved that, for every infinite fieldF, the polynomial ringF [ t 1, …, tn ] has Krull dimension n . The proof uses only "high school algebra" and the rudiments of undergraduate "abstract algebra."
- Is Part Of:
- American Mathematical Monthly. Volume 125:Issue 7(2018)
- Journal:
- American Mathematical Monthly
- Issue:
- Volume 125:Issue 7(2018)
- Issue Display:
- Volume 125, Issue 7 (2018)
- Year:
- 2018
- Volume:
- 125
- Issue:
- 7
- Issue Sort Value:
- 2018-0125-0007-0000
- Page Start:
- 623
- Page End:
- 637
- Publication Date:
- 2018-08-09
- Subjects:
- Primary 13C15 -- Secondary 12D99
Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.tandfonline.com/loi/uamm20 ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00029890.2018.1466608 ↗
- Languages:
- English
- ISSNs:
- 0002-9890
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 7103.xml