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Author, Editor(s)
Author(s):
El Kahoui, M'hammeddblp

BibTeX cite key*:

ElKahoui2005c

Title

Title*:

UFDs with commuting linearly independent locally nilpotent derivations


commute.pdf (157.18 KB)

Journal

Journal Title*:

Journal of Algebra
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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:


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Address:


ISSN:


Vol, No, pp, Date

Volume*:

289
Number:

1

Publishing Date:

2005

Pages*:

446-452
Number of
VG Pages:


Page Start:


Page End:


Sequence Number:


DOI:


Note, Abstract, ©

Note:


(LaTeX) Abstract:


In this paper we study affine Click to view the MathML source-UFDs of transcendence degree n without nonconstant units, having n−1 commuting linearly independent locally nilpotent Click to view the MathML source-derivations. We prove in case n=2, and Click to view the MathML sourcealgebraically closed of characteristic zero, that such rings are polynomial rings in two variables over Click to view the MathML source. 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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MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
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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
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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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