Abstract
This paper presents a criterion for testing the irreducibility of a polynomial over an algebraic extension field. Using this criterion and the characteristic set method, the authors give a criterion for testing whether certain difference ascending chains are strong irreducible, and as a consequence, whether the saturation ideals of these ascending chains are prime ideals.
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This work is partially supported by a National Key Basic Research Project of China and by NSFC.
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Yuan, C., Gao, XS. A criterion for testing whether a difference ideal is prime. J Syst Sci Complex 22, 627–635 (2009). https://doi.org/10.1007/s11424-009-9192-4
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DOI: https://doi.org/10.1007/s11424-009-9192-4