A criterion for testing whether a difference ideal is prime

نویسندگان

  • Chun-Ming Yuan
  • Xiao-Shan Gao
چکیده

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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عنوان ژورنال:
  • J. Systems Science & Complexity

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2009