MPI-INF D1 Publications: Journal Article: UFDs with commuting linearly independent locally nilpotent derivations

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Author(s):

El Kahoui, M'hammed

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BibTeX cite key*:

ElKahoui2005c

Title

Title*:	UFDs with commuting linearly independent locally nilpotent derivations
Attachment(s):	commute.pdf (157.18 KB)

Journal

Journal Title*:	Journal of Algebra	Journal's URL:
Download URL for the article:	http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WH2-4FT0P3X-3-1&_cdi=6838&_user=43521&_orig=search&_coverDate=07%2F15%2F2005&_qd=1&_sk=997109997&view=c&wchp=dGLbVzb-zSkzV&md5=beebb2fcc0a841b60d4fe90b1ce94fc9&ie=/sdarticle.pdf	Language:	English

Publisher

Publisher's Name:	Elsevier	Publisher's URL:
Publisher's Address:		ISSN:

Vol, No, pp, Date

Volume*:	289	Number:	1
Publishing Date:	2005
Pages*:	446-452	Number of VG Pages:
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Sequence Number:		DOI:

Note, Abstract, ©

Note:
(LaTeX) Abstract:	In this paper we study affine -UFDs of transcendence degree n without nonconstant units, having n−1 commuting linearly independent locally nilpotent -derivations. We prove in case n=2, and algebraically closed of characteristic zero, that such rings are polynomial rings in two variables over . We then show that the commuting derivations Conjecture is equivalent to a weak version of the Abhyankar–Sathaye Conjecture.
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HyperLinks / References / URLs:	http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WH2-4FT0P3X-3&_coverDate=07%2F15%2F2005&_alid=412703471&_rdoc=1&_fmt=&_orig=search&_qd=1&_cdi=6838&_sort=d&view=c&_acct=C000004638&_version=1&_urlVersion=0&_userid=43521&md5=688cfaee89caa2cb1f17474f74e97ab8
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Correlation

MPG Unit:	Max-Planck-Institut für Informatik

MPG Subunit:	Algorithms and Complexity Group
Appearance:	MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort

BibTeX Entry:

@ARTICLE{ElKahoui2005c,
AUTHOR = {El Kahoui, M'hammed},
TITLE = {UFDs with commuting linearly independent locally nilpotent derivations},
JOURNAL = {Journal of Algebra},
PUBLISHER = {Elsevier},
YEAR = {2005},
NUMBER = {1},
VOLUME = {289},
PAGES = {446--452},
}

Entry last modified by Christine Kiesel, 06/12/2006

Edit History (please click the blue arrow to see the details)

	Editor(s) M'hammed El Kahoui	Created 02/25/2005 03:51:10 PM
Revisions 2. 1. 0.	Editor(s) Christine Kiesel Christine Kiesel M'hammed El Kahoui	Edit Dates 12.06.2006 13:39:41 12.06.2006 13:35:12 02/25/2005 03:51:10 PM

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commute.pdf

commute.pdf