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On full and faithful Kan extensions

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Publication:1273637
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DOI10.1023/A:1008681922458zbMath0914.18002OpenAlexW1531408721MaRDI QIDQ1273637

Jiří Sichler, Václav Koubek

Publication date: 14 June 1999

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008681922458


zbMATH Keywords

full embeddingfactorization systemvariety of algebrasuniversal categoryKan extensioncolimit of an \(\alpha\)-directed diagramlocally \(\alpha\)-presentable category


Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Special properties of functors (faithful, full, etc.) (18A22) Embedding theorems, universal categories (18B15) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)


Related Items (3)

Almost \textit{ff}-universality implies \(Q\)-universality ⋮ Universal topological unary varieties. ⋮ On coconnected algebras




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