%0 Journal Article %T New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups %J Journal of Algorithms and Computation %I University of Tehran %Z 2476-2776 %A Rahmany, Sajjad %A Basiri, Abdolali %A Salehian, Behzad %D 2017 %\ 12/01/2017 %V 49 %N 2 %P 103-111 %! New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups %K Invariant Ring %K Secondary Invariant %K SAGBI-\G basis %K Monomial Groups %K Algorithm F5-invariant %R 10.22059/jac.2017.7982 %X 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. %U https://jac.ut.ac.ir/article_7982_3c780e70c49fe47bd2911f087a31af61.pdf