Shahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-585318120230201On (semi)topology L-algebras8110310312110.52547/cgasa.2023.103121ENMona Aaly KologaniDepartment of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran0000-0002-5234-2876Journal Article20230131Here, we define (semi)topological L-algebras and some related results are approved. Then we deduce conditions that mention an L-algebra to be a semi-topological or a topological L-algebra and we check some attributes of them. Chiefly, we display in an L-algebra L, if (L, ↠, τ ) is a semi-topological L-algebra and {1} is an open set or L is bounded and satisfies the double negation property, then (L,τ) is a topological L-algebra. Finally, we construct a discrete topology on a quotient L-algebra, under suit- able conditions. Also, different kinds of topology such as T<sub>0</sub> and Hausdorff are investigated.https://cgasa.sbu.ac.ir/article_103121_e423455a15e8af77185a5171e0f66417.pdf