%0 Journal Article
%T On (semi)topology L-algebras
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Aaly Kologani, Mona
%D 2023
%\ 02/01/2023
%V 18
%N 1
%P 81-103
%! On (semi)topology L-algebras
%K L-algebra
%K ideal
%K (semi)topological L-algebra
%K quotient L-algebra
%K Hausdorff
%R 10.52547/cgasa.2023.103121
%X Here, 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 T0 and Hausdorff are investigated.
%U https://cgasa.sbu.ac.ir/article_103121_e423455a15e8af77185a5171e0f66417.pdf