Anti-Archimedean property and the formal power series rings. Issue 8 (3rd August 2019)
- Record Type:
- Journal Article
- Title:
- Anti-Archimedean property and the formal power series rings. Issue 8 (3rd August 2019)
- Main Title:
- Anti-Archimedean property and the formal power series rings
- Authors:
- Park, Mi Hee
Hamed, Ahmed
Maaref, Walid - Abstract:
- Abstract: We investigate the anti-Archimedean property in the power series rings. We characterize the bounded elements of D [ [ X ] ] . We then show that if D is an anti-Archimedean domain, then D ( ( X ) ) and D { { X } } are anti-Archimedean. We also show that for an integrally closed domain D, D being anti-Archimedean, D ( ( X ) ) anti-Archimedean, and D { { X } } anti-Archimedean are all equivalent.
- Is Part Of:
- Communications in algebra. Volume 47:Issue 8(2019)
- Journal:
- Communications in algebra
- Issue:
- Volume 47:Issue 8(2019)
- Issue Display:
- Volume 47, Issue 8 (2019)
- Year:
- 2019
- Volume:
- 47
- Issue:
- 8
- Issue Sort Value:
- 2019-0047-0008-0000
- Page Start:
- 3190
- Page End:
- 3197
- Publication Date:
- 2019-08-03
- Subjects:
- Archimedean -- anti-Archimedean -- bounded -- formal power series ring
13A15 -- 13A18 -- 13B22 -- 13F25
Algebra -- Periodicals
512.005 - Journal URLs:
- http://www.tandfonline.com/toc/lagb20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00927872.2018.1552288 ↗
- 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:
- 17263.xml