TY - JOUR
ID - 103121
TI - On (semi)topology L-algebras
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Aaly Kologani, Mona
AD - Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
Y1 - 2023
PY - 2023
VL - 18
IS - 1
SP - 81
EP - 103
KW - L-algebra
KW - ideal
KW - (semi)topological L-algebra
KW - quotient L-algebra
KW - Hausdorff
DO - 10.52547/cgasa.2023.103121
N2 - 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.
UR - https://cgasa.sbu.ac.ir/article_103121.html
L1 - https://cgasa.sbu.ac.ir/article_103121_e423455a15e8af77185a5171e0f66417.pdf
ER -