A new view of relationship between atomic posets and complete (algebraic) lattices

Abstract

In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.

Keywords

• atomic poset
• c(d)-operator
• complete lattice
• algebraic lattice
• mutual decision
• 20n20
• 20n25
• 03e72