Two Types of Prime UP-Filters of Meet-Commutative UP-Algebras

Abstract

The concept of meet-commutative UP-algebra was introduced by Sawika et al. in 2016 and the concept of prime filters in such algebras was introduced and analyzed by Muhiuddin, Romano and Jun. In this article, as a continuation of the previous one, we introduce one more type of prime UP-filters in meet-commutative UP-algebras and we analyze the interrelationships of these two types of prime UP-filters.

Keywords

• UP-algebra
• meet-commutative UP-algebra
• prime UP-filter of the first kind
• prime UP-filter of the second kind

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