@article { author = {Mostafanasab, H.}, title = {2-D skew constacyclic codes over R[x, y; ρ, θ]}, journal = {Journal of Algebra and Related Topics}, volume = {4}, number = {2}, pages = {49-63}, year = {2016}, publisher = {University of Guilan}, issn = {2345-3931}, eissn = {2382-9877}, doi = {}, abstract = {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.}, keywords = {Cyclic codes,Skew polynomial rings‎,‎2-D skew constacyclic codes}, url = {https://jart.guilan.ac.ir/article_1997.html}, eprint = {https://jart.guilan.ac.ir/article_1997_815df3ed319d9ed34d989ba776bacb95.pdf} }