In the present paper,some basic properties of MP filters of R0 algebra M are investigated.It is proved that ■ is a bounded distributive lattice by introducing the negation operator,the meet operator ∧,the join opera...In the present paper,some basic properties of MP filters of R0 algebra M are investigated.It is proved that ■ is a bounded distributive lattice by introducing the negation operator,the meet operator ∧,the join operator ∨ and the implication operator → on the set FMP(M) of all MP filters of M.Moreover,some conditions under which ■ is an R0 algebra are given.And the relationship between prime elements of FMP(M) and prime filters of M is studied.Finally,some equivalent characterizations of prime elements of FMP(M) are obtained.展开更多
文摘In the present paper,some basic properties of MP filters of R0 algebra M are investigated.It is proved that ■ is a bounded distributive lattice by introducing the negation operator,the meet operator ∧,the join operator ∨ and the implication operator → on the set FMP(M) of all MP filters of M.Moreover,some conditions under which ■ is an R0 algebra are given.And the relationship between prime elements of FMP(M) and prime filters of M is studied.Finally,some equivalent characterizations of prime elements of FMP(M) are obtained.
