University of Guilan Journal of Algebra and Related Topics 2345-3931 4 2 2016 12 01 2-D skew constacyclic codes over R[x, y; ρ, θ] 49 63 1997 EN H. Mostafanasab Eski Silahtaraga Elektrik Santrali, Kazim Karabekir, Istanbul Bilgi University Journal Article 2016 05 26 For a finite field $\mathbb{F}_q$, the bivariate skew polynomial ring $\mathbb{F}_q[x,y;\rho,\theta]$ has been used to study codes \cite{XH}. In this paper, we give some characterizations of the ring $R[x,y;\rho,\theta]$, where $R$ is a commutative ring. We investigate 2-D skew $(\lambda_1,\lambda_2)$-constacyclic codes in the ring $R[x,y;\rho,\theta]/\langle x^l-\lambda_1,y^s-\lambda_2\rangle_{\mathit{l}}.$ Also, the dual of 2-D skew $(\lambda_1,\lambda_2)$-constacyclic codes is investigated. https://jart.guilan.ac.ir/article_1997_815df3ed319d9ed34d989ba776bacb95.pdf