On (semi)topology L-algebras
عنوان مقاله: On (semi)topology L-algebras
شناسه ملی مقاله: JR_CGASAT-18-1_004
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_CGASAT-18-1_004
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Mona Aaly Kologani - Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
خلاصه مقاله:
Mona Aaly Kologani - Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
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 {۱} 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 T۰ and Hausdorff are investigated.
کلمات کلیدی: L-algebra, ideal, (semi)topological L-algebra, quotient L-algebra, Hausdorff
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1633814/