简介:Thispaperpresentsacriterionfortestingtheirreducibilityofapolynomialoveranalgebraicextensionfield.Usingthiscriterionandthecharacteristicsetmethod,theauthorsgiveacriterionfortestingwhethercertaindifferenceascendingchainsarestrongirreducible,andasaconsequence,whetherthesaturationidealsoftheseascendingchainsareprimeideals.