Enveloping algebras that are principal ideal rings
Abstract
Let $L$ be a restricted Lie algebra over a field of positive characteristic. We prove that the restricted enveloping algebra of $L$ is a principal ideal ring if and only if $L$ is an extension of a finitedimensional torus by a cyclic restricted Lie algebra.
 Publication:

arXiv eprints
 Pub Date:
 January 2017
 arXiv:
 arXiv:1701.00768
 Bibcode:
 2017arXiv170100768S
 Keywords:

 Mathematics  Rings and Algebras;
 16S30;
 17B50;
 13F10