论文标题
雅各布森（Jacobson
Jacobson's Lemma for the generalized n-strongly Drazin inverse
论文作者
论文摘要
令$ n \ in {\ bbb n} $。如果存在$ x \ in r $，则$ x \ in r $，以至于$ xax = x，x，comm^2（a），r^n-ax \ in r^{qnil}。 n巧妙的drazin倒数。还获得了Banach代数的扩展。
Let $n\in {\Bbb N}$. An element $a\in R$ has generalized n-strongly Drazin inverse if there exists $x\in R$ such that $xax=x, x\in comm^2(a), a^n-ax\in R^{qnil}.$ For any $a,b\in R$, we prove that $1-ab$ has generalized n-strongly Drazin inverse if and only if $1-ba$ has generalized n-strongly Drazin inverse. Extensions in Banach algebra are also obtained.
