New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups

نویسندگان

  • Abdolali Basiri School of Mathematics and Computer Science, Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364, Damghan, Iran.
  • Behzad Salehian School of Mathematics and Computer Science, Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364, Damghan, Iran.
  • Sajjad Rahmany School of Mathematics and Computer Science, Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364, Damghan, Iran.
چکیده مقاله:

In this paper, a new  algorithm for computing secondary invariants of  invariant rings of monomial groups is presented. The main idea is to compute simultaneously a truncated SAGBI-G basis and the standard invariants of the ideal generated by the set of primary invariants.  The advantage of the presented algorithm lies in the fact that it is well-suited to complexity analysis and very easy to implement.

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عنوان ژورنال

دوره 49  شماره 2

صفحات  103- 111

تاریخ انتشار 2017-12-01

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