@article {
author = {Aaly Kologani, Mona},
title = {On (semi)topology L-algebras},
journal = {Categories and General Algebraic Structures with Applications},
volume = {18},
number = {1},
pages = {81-103},
year = {2023},
publisher = {Shahid Beheshti University},
issn = {2345-5853},
eissn = {2345-5861},
doi = {10.52547/cgasa.2023.103121},
abstract = {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.},
keywords = {L-algebra,ideal,(semi)topological L-algebra,quotient L-algebra,Hausdorff},
url = {https://cgasa.sbu.ac.ir/article_103121.html},
eprint = {https://cgasa.sbu.ac.ir/article_103121_e423455a15e8af77185a5171e0f66417.pdf}
}