Skew 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) , u v - v u ⟩ be a finite commutative non-chain ring. In this paper, we study general skew cyclic codes and θ t -skew constacyclic codes over the ring R where θ t is an automorphism of R . [ABSTRACT FROM AUTHOR]