The maximal ring of quotient \(f\)-ring

DOI10.1007/BF01190704zbMath0819.06018MaRDI QIDQ1891271

Yanyan Li

Publication date: 30 May 1995

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

integral closuremaximal quotient ringorthocompletionarchimedean \(f\)-ringscommutative semiprime \(f\)-ringDedekind-McNeille completion

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25)

Related Items (12)

Rings of quotients off-rings by gabriel filters of ideals ⋮ Representation Theorems ford-Multiplications on Archimedean Unitalf-Rings ⋮ Patch-generated frames and projectable hulls ⋮ Homomorphisms from \(C(X,\mathbb {Z})\) into a ring of continuous functions ⋮ Composition operators on \(f\)-algebras ⋮ Specker spaces and their absolutes. II ⋮ On α-regular archimedean f-rings ⋮ Fraction-dense algebras and spaces ⋮ When the maximum ring of quotients of \(C(X)\) is uniformly complete ⋮ Global dimension of rings of functions ⋮ Algebras and Spaces of Dense Constancies ⋮ Functorial rings of quotients. III: The maximum in Archimedean \(f\)-rings

Cites Work

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• Complementing lattice-ordered groups: The projectable case
• Complemented lattice-ordered groups
• The hulls of C(Y)
• Maximal rings of quotients of semi-simple commutative rings
• Residue class fields of lattice-ordered algebras
• Epi-archimedean groups
• Lattice-Ordered Rings of Quotients
• Rings of Continuous Integer-Valued Functions and Nonstandard Arithmetic
• The Space of Minimal Prime Ideals of a Commutative Ring
• The Completion of a Lattice Ordered Group
• Rings of Integer-Valued Continuous Functions

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