On quasivarieties and varieties as categories

DOI10.1007/s11225-005-7033-6zbMath1072.08001OpenAlexW89224262MaRDI QIDQ1770598

Jiří Adámek

Publication date: 7 April 2005

Published in: Studia Logica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11225-005-7033-6

zbMATH Keywords

varietyquasivarietyregular generatorcocompletenesscategory of algebrasexact generatorpseudoequivalence

Mathematics Subject Classification ID

Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Quasivarieties (08C15) Categories of algebras (08C05) Varieties (08B99) Research exposition (monographs, survey articles) pertaining to category theory (18-02) Research exposition (monographs, survey articles) pertaining to general algebraic systems (08-02)

Related Items (4)

Fundamental duality of abstract categories and its applications ⋮ On the axiomatisability of the dual of compact ordered spaces ⋮ Are locally finite MV-algebras a variety? ⋮ Duality theory for enriched Priestley spaces

Cites Work

• Finitary quasi-varieties
• Algebraic theories of quasivarieties
• Regular and exact completions
• On the abstract characterization of quasivarieties
• On reflective subcategories of varieties
• Kennzeichnung von primitiven und quasiprimitiven Kategorien von Algebren
• Lokal präsentierbare Kategorien. (Locally presentable categories)
• A categorical characterization of varieties
• REMARKS ON CATEGORIES OF ALGEBRAS DEFINED BY A PROPER CLASS OF OPERATIONS
• FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES
• A note on effectively projective objects
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