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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
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:
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/