Sheaf representations of strongly harmonic rings

DOI10.1017/S030821050001427XzbMath0563.18007MaRDI QIDQ3676320

Harold Simmons

Publication date: 1985

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

adjunctionendomorphism ringGelfand ringsstrongly harmonic ringsframe of virginal idealssheaf representations of a ring

Mathematics Subject Classification ID

Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (11)

Isomorphic sheaf representations of normal lattices ⋮ A unification of some sheaf representations of rings by quotient rings ⋮ Rings and sheaves ⋮ Rings of continuous functions with values in a topological division ring ⋮ Attaching topological spaces to a module. I: sobriety and spatiality ⋮ On strongly harmonic and Gelfand modules ⋮ Functional representations of semirings. ⋮ Compact representations - the lattice theory of compact ringed spaces ⋮ Structural results on harmonic rings and lessened rings ⋮ Some abstract maximal ideal-like spaces ⋮ A stucture sheaf for semiprime rings

Cites Work

• Recovering a frame from its sheaves of algebras
• A generalisation of Gel'fand duality
• The representation of biregular rings by sheaves
• On a representation of a strongly harmonic ring by sheaves
• A Sheaf Representation for Modules with Applications to Gelfand Rings
• Couples spectraux et faisceaux associés. Applications aux anneaux de fonctions
• On Functional Representations of a Ring without Nilpotent Elements
• On the Representation of Modules by Sheaves of Factor Modules
• Representations of algebras by continuous sections

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