Author： Mattarei Sandro
Publisher： Taylor & Francis Ltd
ISSN： 0308-1087
Source： Linear and Multilinear Algebra, Vol.59, Iss.4, 2011-04, pp. : 441-449
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In a recent study of Engel Lie rings, Serena Cicalo and Willem de Graaf have given a practical set of conditions for an additively finitely generated Lie ring L to satisfy an Engel condition. We present a simpler and more direct proof of this fact. Our main result generalizes this in the language of tensor algebra, and describes a relatively small generating set for the module generated by all n-th tensor powers of elements of a finitely generated -module M, in terms of a generating set for M.
Related content
On the Centralizers of Derivations with Engel Conditions
Communications in Algebra, Vol. 41, Iss. 5, 2013-05 ,pp. :
Access to resources
Recommend
Skew Derivations and Engel Conditions
Communications in Algebra, Vol. 42, Iss. 1, 2014-01 ,pp. :
Necessary and sufficient conditions for copositive tensors
Linear and Multilinear Algebra, Vol. 63, Iss. 1, 2015-01 ,pp. :
Generalized Derivations with Engel Conditions on One-Sided Ideals
By Albas Emine
Communications in Algebra, Vol. 36, Iss. 6, 2008-06 ,pp. :
On Certain Weak Engel-Type Conditions in Groups
By Meriano Maurizio Nicotera Chiara
Communications in Algebra, Vol. 42, Iss. 10, 2014-10 ,pp. :