University of TehranJournal of Algorithms and Computation2476-277649220171201New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups103111798210.22059/jac.2017.7982ENSajjad RahmanySchool of Mathematics and Computer Science,
Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364,
Damghan, Iran.Abdolali BasiriSchool of Mathematics and Computer Science,
Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364,
Damghan, Iran.Behzad SalehianSchool of Mathematics and Computer Science,
Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364,
Damghan, Iran.Journal Article20161116In 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.https://jac.ut.ac.ir/article_7982_3c780e70c49fe47bd2911f087a31af61.pdf