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<p>We establish a duality between the category of algebraic lattices with complete lattice homomorphisms as morphisms and the category of join semilattices whose morphisms are join-semilattice homomorphisms possessing an additional refinement property. We draw several conclusions from this duality to benefit Lattice Theory.</p>

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New Results for Algebraic Lattices

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • W. Dziobiak,
  • M. V. Schwidefsky

摘要

We establish a duality between the category of algebraic lattices with complete lattice homomorphisms as morphisms and the category of join semilattices whose morphisms are join-semilattice homomorphisms possessing an additional refinement property. We draw several conclusions from this duality to benefit Lattice Theory.