Relatively pseudocomplemented posets

Relatively pseudocomplemented posets

Blog Article

We extend the notion of a relatively pseudocomplemented meet-semilattice to arbitrary posets.We show some properties of the binary operation Pepper Shaker of relative pseudocomplementation and provide some corresponding characterizations.We show that relatively pseudocomplemented posets satisfying a certain simple identity in two variables are join-semilattices.Finally, we show that every relatively pseudocomplemented poset is distributive and that the converse holds for posets Fracarro Phased Array Bracket satisfying the ascending chain condition and one more natural condition.Suitable examples are provided.