Quotients and colimits of \(\kappa \)-quantales

DOI10.1016/j.topol.2011.06.029zbMath1232.06019OpenAlexW1991925485MaRDI QIDQ645190

Richard N. Ball, Ales Pultr

Publication date: 8 November 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.06.029

zbMATH Keywords

coproductcommutative monoidquotientcolimitpre-ideal\(\kappa\)-frame\(\kappa\)-quantale\(\lambda\)-idealsaturated element

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Frames, locales (06D22) Subalgebras, congruence relations (08A30) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Free algebras (08B20) Products, amalgamated products, and other kinds of limits and colimits (08B25) Categories of algebras (08C05) Quantales (06F07)

Cites Work

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• Quantales and their sheaves
• Distributive algebras in linear categories
• Projective quantales: a general view
• \(\kappa\)-frames
• Free lattices. II
• Algebraic and Categorical Aspects of Quantales
• An extension of the Galois theory of Grothendieck
• Tensor Products and Bimorphisms

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