A characterization of local nilpotence for dimension two polynomial derivations. Issue 5 (4th May 2022)
- Record Type:
- Journal Article
- Title:
- A characterization of local nilpotence for dimension two polynomial derivations. Issue 5 (4th May 2022)
- Main Title:
- A characterization of local nilpotence for dimension two polynomial derivations
- Authors:
- Pan, Ivan
- Abstract:
- Abstract: Let k be an algebraically closed field. We prove that a polynomial k -derivation D in two variables is locally nilpotent if and only if the subgroup of polynomial k -automorphisms which commute with D admits elements whose degree is arbitrary big.
- Is Part Of:
- Communications in algebra. Volume 50:Issue 5(2022)
- Journal:
- Communications in algebra
- Issue:
- Volume 50:Issue 5(2022)
- Issue Display:
- Volume 50, Issue 5 (2022)
- Year:
- 2022
- Volume:
- 50
- Issue:
- 5
- Issue Sort Value:
- 2022-0050-0005-0000
- Page Start:
- 1884
- Page End:
- 1888
- Publication Date:
- 2022-05-04
- Subjects:
- Locally nilpotent derivations -- polynomials
13N15 -- 34A12
Algebra -- Periodicals
512.005 - Journal URLs:
- http://www.tandfonline.com/toc/lagb20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00927872.2021.1992631 ↗
- 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:
- 21153.xml