Polyadic constacyclic codes over a non-chain ring Fq[u, v]/⟨f (u), g(v), uv - vu⟩

Let f (u) and g(v) be two polynomials, not both linear, which split into distinct linear factors over F-q. Let R = F-q [u, v]/< f (u), g(v), uv - vu > be a finite commutative non-chain ring. In this paper, we study polyadic lambda-constacyclic codes of Type I and Type II over R for lambda is an element of F-q*. The Gray images of polyadic negacyclic codes and their extensions lead to construction of self-dual, isodual, self-orthogonal and complementary dual(LCD) codes over F-q. We also study alpha-constacyclic codes over R for any unit alpha in R.