2-D SKEW CONSTACYCLIC CODES OVER R[x, y; ρ, θ]

For a finite field Fq, the bivariate skew polynomial ring Fq[x, y; ρ, θ] has been used to study codes [25]. In this paper, we give some characterizations of the ring R[x, y; ρ, θ], where R is a commutative ring. We investigate 2-D skew (λ1, λ2)-constacyclic codes in the ring R[x, y; ρ, θ]/ x^l − λ1, y^s − λ2 l . Also, the dual of 2-D skew (λ1, λ2)-constacyclic codes is investigated.