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

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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… Click to show full abstract

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 posets; algebraic lattices; posets complete; new view; relationship atomic

Journal Title: Open Mathematics
Year Published: 2017

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