TY - JOUR
AU - Mohammed Salih, Haval
AU - Akray, Ismael
AU - Mena, Faruq A.
PY - 2023/01/01
Y2 - 2023/06/06
TI - Irresolute \(\beta\)-topological Algebra
JF - Journal of Advanced Studies in Topology
JA - J. of Adv. Stud. in Top.
VL - 13
IS - 1-2
SE - Research Articles
DO - 10.5281/zenodo.7497566
UR - https://www.m-sciences.com/index.php/jast/article/view/299
SP - 1-6
AB - <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>
ER -