۱-Absorbing prime property in lattices

Let \pounds be a bounded distributive lattice. Following the concept of ۱-absorbing prime ideal, we define ۱-absorbing prime filters of \pounds. A proper filter F of \pounds is called ۱-absorbing prime filter of \pounds if whenever non-zero elements a, b, c \in \pounds and a \vee b \vee c \in F, then either a \vee b \in F or c \in F. We will make an intensive investigate the basic properties and possible structures of these filters.

کلیدواژه ها:

lattice ، Filter ، ۱-absorbing filter