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

نویسندگان
Salehian, Behzad ID 1
Rahmany, Sajjad ID 2
Basiri, Abdolali ID 3

1 School of Mathematics and Computer Science, Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364, Damghan, Iran.

2 School of Mathematics and Computer Science, Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364, Damghan, Iran.

3 School of Mathematics and Computer Science, Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364, Damghan, Iran.

doi
10.22059/jac.2017.7982
چکیده

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.

کلیدواژه‌ها
Invariant Ring, Secondary Invariant, SAGBI-\G basis, Monomial Groups, Algorithm F5-invariant