Invariance of projective modules in \(\mathsf{Sup}\) under self-duality

DOI10.1007/s00012-020-00691-5zbMath1457.18006OpenAlexW3118405099MaRDI QIDQ2226980

Javier Gutiérrez García, Ulrich Höhle, Tomasz Kubiak

Publication date: 9 February 2021

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-020-00691-5

zbMATH Keywords

complete latticeprojective modulemonoidal categorycyclic elementenriched categorypresheafquantalequantale modulepreordered setcomplete distributivitydualizing elementtotally below relation

Mathematics Subject Classification ID

Complete distributivity (06D10) Logical aspects of lattices and related structures (03G10) Topoi (18B25) Quantales (06F07) Enriched categories (over closed or monoidal categories) (18D20) Other generalizations of distributive lattices (06D75)

Cites Work

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• Towards ``dynamic domains: totally continuous cocomplete \(\mathcal Q\)-categories
• Semigroups in complete lattices. Quantales, modules and related topics
• Projectives and injectives in the category of complete lattices with residuated mappings
• An extension of the Galois theory of Grothendieck
• Regularity vs. constructive complete (co)distributivity
• A Subdirect-Union Representation for Completely Distributive Complete Lattices

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