Boolean center of lattice ordered EQ-algebras with bottom element
عنوان مقاله: Boolean center of lattice ordered EQ-algebras with bottom element
شناسه ملی مقاله: JR_ASYAZDT-5-1_004
منتشر شده در در سال 1397
شناسه ملی مقاله: JR_ASYAZDT-5-1_004
منتشر شده در در سال 1397
مشخصات نویسندگان مقاله:
- - - Departement of Mathematics, Kerman Branch, Islamic Azad university, Kerman,Iran.
Lida Torkzadeh - Departement of Mathematics, Kerman Branch, Islamic Azad university, Kerman,Iran.
خلاصه مقاله:
- - - Departement of Mathematics, Kerman Branch, Islamic Azad university, Kerman,Iran.
Lida Torkzadeh - Departement of Mathematics, Kerman Branch, Islamic Azad university, Kerman,Iran.
In this paper, some new properties of EQ-algebras are investigated. We introduce and study the notion of Boolean center of lattice ordered EQ-algebras with bottom element. We show that in a good \ell EQ-algebra E with bottom element the complement of an element is unique. Furthermore, Boolean elements of a good bounded lattice EQ-algebra are characterized. Finally, we obtain conditions under which Boolean center of an EQ-algebra E is the subalgebra of E.
کلمات کلیدی: EQ-algebra, blEQ-algebra, Boolean element
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1579945/