@article{Mohammed Salih_Akray_Mena_2023, title={Irresolute \(\beta\)-topological Algebra}, volume={13}, url={https://m-sciences.com/index.php/jast/article/view/299}, DOI={10.5281/zenodo.7497566}, abstractNote={<p style="text-align: justify;">In this paper, we introduce a generalization of topological \(R\)-module using \(\beta\)-open sets called irresolute \(\beta\)-topological algebra (group, ring, and module). We show that the center of an irresolute \(\beta\)-hausdorff ring is \(\beta\)-closed and if \(N\) is \(Q\)-submodule of an irresolute \(\beta\)-topological \(R\)-module \(M\), then \(\beta Cl(N)_M\) is also \(\beta Cl(Q)_R\)-submodule where \(Q,N\) are subsets of \(R,M\) respectively. Several other properties of them are investigated.</p>}, number={1-2}, journal={Journal of Advanced Studies in Topology}, author={Mohammed Salih, Haval and Akray, Ismael and Mena, Faruq A.}, year={2023}, month={Jan.}, pages={1–6} }