Autour de la condition d'engel dans les algèbres de bernstein
作者:
Moussa Ouattara,
Joseph Bayara,
Artibano Micali,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 1
页码: 363-373
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008841077
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We know that, in general, an algebra satisfying an Engel's condition is a nilalgebra. But an Engel's condition don't implies necessarily the nilpotency of the algebra. In this paper we show that every Bernstein algebra satisfying the second or the third Engel's condition is genetic, that is, the kernel of his weight fonction is nilpotent. This is also the case for a Bernstein algebra satisfying the second weak Engel's condition.
点击下载:
PDF (968KB)
返 回