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  UFDs with commuting linearly independent locally nilpotent derivations

El Kahoui, M. (2005). UFDs with commuting linearly independent locally nilpotent derivations. Journal of Algebra, 289, 446-452.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2827-5 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2828-3
Genre: Journal Article

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 Creators:
El Kahoui, M'hammed1, Author           
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 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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Language(s): eng - English
 Dates: 2006-06-122005
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 279171
Other: Local-ID: C1256428004B93B8-0034CE3CDD980BBCC1256FB3005196C9-ElKahoui2005c
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Title: Journal of Algebra
Source Genre: Journal
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Pages: - Volume / Issue: 289 Sequence Number: - Start / End Page: 446 - 452 Identifier: -