摘要
设I是有限维交换代数A的理想.本文考查了A及A/I上的导子及幂零导子,证明了A/I上的每个导子都可以提升为A上的导子,并且每个幂零导子都可以提升为幂零导子,从而彻底回答了有限维交换代数上的导子提升问题.
Let I be an ideal of the finite-dimensionally commutative algebra A. We investigate derivations and nilpotent derivations over A and A/I. And prove that each derivation of A/I can be lifted as one of A, so do the nilpotent derivations. Meanwhile, we have completely answered the question of lifting of derivations over finite-dimensionally commutative algebras.
出处
《吉林化工学院学报》
CAS
2004年第3期99-100,共2页
Journal of Jilin Institute of Chemical Technology
基金
处教育厅重点项目(99A019)
关键词
有限维代数
交换代数
导子的提升
finite-dimensional algebra
commutative algebra
lifting of derivations
