Pushout-invariant extensions and monoreflections

DOI10.1016/S0022-4049(97)00067-4zbMath0935.18002OpenAlexW1983001668MaRDI QIDQ1295555

Anthony W. Hager, Jorge Martinez

Publication date: 16 August 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00067-4

zbMATH Keywords

kernelsextension operatormonoreflections\(f\)-ringspushoutsdirect limitspushout-invariance

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Extension theory of commutative rings (13B02) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Commutative ring extensions and related topics (13B99)

Related Items (5)

Categorically perfect rings ⋮ Monoreflections of commutative rings with identity ⋮ Algebraic extensions of an archimedean lattice-ordered group. II ⋮ Functorial approximation to the lateral completion in archimedean lattice-ordered groups with weak unit ⋮ Functorial rings of quotients. III: The maximum in Archimedean \(f\)-rings

Cites Work

• Epicomplete l-groups
• A variety of lattice-ordered groups containing all representable covers of the abelian variety
• Groupes et anneaux reticules
• Maximum monoreflections
• Residue class fields of lattice-ordered algebras
• The basic theory of real closed spaces
• Bezout and prufer f-rings
• Functorial rings of quotients 2: the ring of hyper-fractions
• Monoreflections of commutative rings with identity
• Categorically perfect rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Pushout-invariant extensions and monoreflections