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Normal ideals in pseudo-complemented almost distributive lattices

عنوان مقاله: Normal ideals in pseudo-complemented almost distributive lattices
شناسه ملی مقاله: JR_ASYAZDT-7-2_010
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:

Rafi Noorbhashsa - Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh - ۵۲۲ ۱۰۱, India.
Ravikumar Bandaru - Department of Mathematics, GITAM(Deemed to be University), Hyderabad Campus, Telangana - ۵۰۲ ۳۲۹, India
M Srujana - Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh - ۵۲۲ ۱۰۱, India.

خلاصه مقاله:
In this paper, we introduced the concepts of normlet and normal ideal in a pseudo-complemented almost distributive lattice and studied its properties. We have characterized normal ideals and established equivalent conditions for every ideal to become a normal ideal. Also, derived equivalent conditions for the set of all prime normal ideals of a pseudo-complemented ADL to become a Hausdorff space.

کلمات کلیدی:
Almost Distributive Lattice (ADL), Pseudo-complemented ADL, Normal ideal, Hausdorff space

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1579999/