Author(s)

Kamal El-Saady^1*, Fatima Al-Nabbat²

¹Department of Mathematics, Faculty of Science at Qena, South Valley University, Qena, Egypt.
²Department of Mathematics, College of Science, King Faisal University, Al-Hasa, Saudi Arabia.

The aim of this paper is to introduce the concept of generalized topological molecular lattices briefly GTMLs as a generalization of Wang’s topological molecular lattices TMLs, Császár’s setpoint generalized topological spaces and lattice valued generalized topological spaces. Some notions such as continuous GOHs, convergence theory and separation axioms are introduced. Moreover, the relations among them are investigated.

Generalized Topological Molecular Lattices, Generalized Order Homomorphisms, Convergence of Molecular Nets, Separation Axioms

El-Saady, K. and Al-Nabbat, F. (2015) Generalized Topological Molecular Lattices. Advances in Pure Mathematics, 5, 552-559. doi: 10.4236/apm.2015.59051.