Abstract
In this paper, we define the notion of topological lattice effect algebras and investigate some of their properties. By using Sasaki arrows and F-balls, we construct two topology on lattice effect algebras. Then we study separation axioms on lattice effect algebras. Specifically, we find some conditions under which a topological lattice algebra is a $T_{0}$, $T_{1}$, and Hausdorff space. Finally, by using a strong filter and a quotient lattice effect algebra constructed by it, we investigate under what conditions this quotient lattice effect algebra will be a topological lattice effect algebra.
Citation
M. R. Rakhshani. G. R. Rezaei. R. A. Borzooei. "Results on Topological Lattice Effect Algebras." Missouri J. Math. Sci. 34 (1) 67 - 84, May 2022. https://doi.org/10.35834/2022/3401067
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