论文标题
Henselian场上的多项式分解
Polynomial factorization over henselian fields
论文作者
论文摘要
如果在K [x] $中有一个有价值的字段$(k,v)$和一个不可约多的多项式$ g \,我们调查了Ore,MacLane,Okutsu,Montes,Vaquié和Herra-Olalla-Olalla-Olalla-Mahboub-Spivakovsky,在某些条件下(在某些条件下)到Algorithm,以找到$ G $ G $ g $ g $ g y g $ g $ g y y g y g y g $ g $ g,
Given a valued field $(K,v)$ and an irreducible polynomial $g\in K[x]$, we survey the ideas of Ore, Maclane, Okutsu, Montes, Vaquié and Herrera-Olalla-Mahboub-Spivakovsky, leading (under certain conditions) to an algorithm to find the factorization of $g$ over a henselization of $(K,v)$.