中文摘要：

<正> The polynomial algebra is a deformed su(2) algebra.Here,we use polynomial algebra as a method to solvea series of deformed oscillators.Thus,we find a series of physics systems corresponding with polynomial algebra withdifferent highest orders.

英文摘要：

The polynomial algebra is a deformed su（2） algebra. Here, we use polynomial algebra az a method to solve a series of deformed oscillators. Thus, we find a series of physics systems corresponding with polynomial algebra with different highest orders.