Eggert's conjecture on the dimensions of nilpotent algebras

被引：5
|
作者：
Hammoudi, L [1 ]
机构：
[1] Miami Univ, Oxford, OH 45056 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2002年 / 202卷 / 01期
关键词：
D O I：
10.2140/pjm.2002.202.93
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that for a finite dimensional commutative nilpotent algebra A over a field of prime characteristic p> 0, dimA greater than or equal to dimA((p)), where A((p)) is the subalgebra of A generated by the elements x(p). In particular, this solves Eggert's conjecture.
引用
收藏
页码：93 / 97
页数：5
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