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Rahmany, Sajjad, Basiri, Abdolali, Salehian, Behzad. (1396). New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups. , 49(2), 103-111. doi: 10.22059/jac.2017.7982
Sajjad Rahmany; Abdolali Basiri; Behzad Salehian. "New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups". , 49, 2, 1396, 103-111. doi: 10.22059/jac.2017.7982
Rahmany, Sajjad, Basiri, Abdolali, Salehian, Behzad. (1396). 'New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups', , 49(2), pp. 103-111. doi: 10.22059/jac.2017.7982
Rahmany, Sajjad, Basiri, Abdolali, Salehian, Behzad. New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups. , 1396; 49(2): 103-111. doi: 10.22059/jac.2017.7982

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

Journal of Algorithms and Computation
مقاله 8، دوره 49، شماره 2، اسفند 2017، صفحه 103-111    اصل مقاله (257.28 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2017.7982
نویسندگان
Sajjad Rahmany؛ Abdolali Basiri؛ Behzad Salehian*
School of Mathematics and Computer Science, Damghan University, Department of Mathematics, Damghan University,P.O. Box 36715-364, Damghan, Iran.
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
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