## What is/are Graded Polynomial?

Graded Polynomial - These algebras are standard graded Artinian algebras whose Macaulay dual generator is given explicitly as a bigraded polynomial of bidegree ( 1 , d ).^{[1]}

## graded polynomial ring

We construct a tower of arithmetic generators of the bigraded polynomial ring J_{*,*}^{w, O}(D_n) of weak Jacobi modular forms invariant with respect to the full orthogonal group O(D_n) of the root lattice D_n for 2\le n\le 8.^{[1]}Let $I$ be an ideal generated by quadrics in a standard graded polynomial ring $S$ over a field.

^{[2]}