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A NOTE ON RIGIDITY AND TRIANGULABILITY OF A DERIVATION

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Title A NOTE ON RIGIDITY AND TRIANGULABILITY OF A DERIVATION
 
Creator KESHARI, MK
LOKHANDE, SA
 
Subject Locally nilpotent derivation
rigidity
triangulability
 
Description Let A be a Q-domain, K = frac (A), B = A([n]) and D is an element of LNDA(B). Assume rank D = rank D-K = r, where D-K is the extension of D to K-[n]. Then we show that (i) If D-K is rigid, then D is rigid. (ii) Assume n = 3, r = 2 and B = A[X, Y, Z] with DX = 0. Then D is triangulable over A if and only if D is triangulable over A[X]. In case A is a field, this result is due to Daigle.
 
Publisher ROCKY MT MATH CONSORTIUM
 
Date 2014-12-28T18:10:02Z
2014-12-28T18:10:02Z
2014
 
Type Article
 
Identifier JOURNAL OF COMMUTATIVE ALGEBRA, 6(1)95-100
1939-0807
1939-2346
http://dx.doi.org/10.1216/JCA-2014-6-1-95
http://dspace.library.iitb.ac.in/jspui/handle/100/17072
 
Language English