摘要
对一维波动算子□，本文证明在变系数微分算子环中，由□。生成的左理想在下述意义下是素的：对任意微分算子Ｔ，若Ｔｆ＝０，ｆ∈Ω，都有Ｔ∈（□ａ），其中Ω是□．的解空间．
For the one-dimensional wave operator □a ( ) it is proved that the left ideal generated by □. is prime in the ring of differential operators with variable coefficients (in the sense that: for any differential operator T, if Tf= 0, f∈ Ω, then T ∈ (□a ) ).
关键词
波动算子
微分算子环
素左理想
wave operator, ring of differential operators, prime left ideal
