Power linear keller maps of nilpotency index two

dc.contributor.author	Cheng, CC-A	en
dc.contributor.author	Sakkalis, T	en
dc.date.accessioned	2014-06-06T06:46:05Z
dc.date.available	2014-06-06T06:46:05Z
dc.date.issued	2004	en
dc.identifier.issn	00927872	en
dc.identifier.uri	http://dx.doi.org/10.1081/AGB-120037404	en
dc.identifier.uri	http://62.217.125.90/xmlui/handle/123456789/2784
dc.subject	Invertible map	en
dc.subject	Jacobian conjecture	en
dc.subject	Linearly triangularizable map	en
dc.subject	Polynomial map	en
dc.subject	Tame	en
dc.title	Power linear keller maps of nilpotency index two	en
heal.type	journalArticle	en
heal.identifier.primary	10.1081/AGB-120037404	en
heal.publicationDate	2004	en
heal.abstract	Let K be a field. A polynomial map Kn → Kn is power linear of degree d if it is of the form X + H = (X1 + H 1, . . ., Xn + Hn), where Hi = Aid, Ai is a linear form in X1, . . ., Xn and d > 1. In this paper it is proved that if K is a field of characteristic not dividing d and F is a power linear polynomial map of degree d with nilpotency index two, i.e., (JH)2 = 0, then there exists a linear invertible polynomial map φ such that φ-1 Fφ is a triangular power linear map of degree d. Copyright © 2004 by Marcel Dekker, Inc.	en
heal.journalName	Communications in Algebra	en
dc.identifier.issue	7	en
dc.identifier.volume	32	en
dc.identifier.doi	10.1081/AGB-120037404	en
dc.identifier.spage	2635	en
dc.identifier.epage	2637	en