All retraction operators on a complete lattice form a complete lattice

DOI10.1007/BF02583001zbMath0734.06005MaRDI QIDQ3360918

Bo-Yu Li

Publication date: 1991

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

complete latticeretraction operators

Mathematics Subject Classification ID

Complete lattices, completions (06B23)

Related Items (4)

A property of meets in slim semimodular lattices and its application to retracts ⋮ Retraction closure property ⋮ Lattices of retracts of direct products of two finite chains and notes on retracts of lattices ⋮ All retraction operators on a lattice need not form a lattice

Cites Work

• A structure theory for ordered sets
• Ordered sets: retracts and connections
• A lattice-theoretical fixpoint theorem and its applications
• Dedekind Completeness and a Fixed-Point Theorem
• A Theorem on Partially Ordered Sets, With Applications to Fixed Point Theorems
• Unnamed Item

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