On noncommutative piecewise Noetherian rings. Issue 6 (3rd June 2017)
- Record Type:
- Journal Article
- Title:
- On noncommutative piecewise Noetherian rings. Issue 6 (3rd June 2017)
- Main Title:
- On noncommutative piecewise Noetherian rings
- Authors:
- Bailey, Abigail C.
Beachy, John A. - Abstract:
- ABSTRACT: We extend the definition of a piecewise Noetherian ring to the noncommutative case, and investigate various properties of such rings. In particular, we show that a ring with Krull dimension is piecewise Noetherian. Certain fully bounded piecewise Noetherian rings have Gabriel dimension and exhibit the Gabriel correspondence between prime ideals and indecomposable injective modules.
- Is Part Of:
- Communications in algebra. Volume 45:Issue 6(2017)
- Journal:
- Communications in algebra
- Issue:
- Volume 45:Issue 6(2017)
- Issue Display:
- Volume 45, Issue 6 (2017)
- Year:
- 2017
- Volume:
- 45
- Issue:
- 6
- Issue Sort Value:
- 2017-0045-0006-0000
- Page Start:
- 2662
- Page End:
- 2672
- Publication Date:
- 2017-06-03
- Subjects:
- Associated prime ideal -- Gabriel correspondence -- Gabriel dimension -- piecewise Noetherian -- reduced rank
16P60 -- 16S50 -- 16S90
Algebra -- Periodicals
512.005 - Journal URLs:
- http://www.tandfonline.com/toc/lagb20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00927872.2016.1233232 ↗
- Languages:
- English
- ISSNs:
- 0092-7872
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3359.200000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 293.xml