Remarks on generalized rings of quotients

DOI10.3792/pja/1195522568zbMath0136.31404OpenAlexW2025245977MaRDI QIDQ5510939

Tomoharu Akiba

Publication date: 1964

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195522568

zbMATH Keywords

generalized rings of quotients

Mathematics Subject Classification ID

Rings of fractions and localization for commutative rings (13B30)

Related Items

GENERALLY t-LINKATIVE DOMAINS ⋮ Autour de la platitude ⋮ Quotient overrings of integral domains ⋮ Noetherian-like properties and zero-dimensionality in some extensions of rings ⋮ Localizations of integer‐valued polynomials and of their Picard group ⋮ Flat Modules Over Commutative Noetherian Rings ⋮ Well-centered overrings of an integral domain. ⋮ Trace properties in rings with zero divisors ⋮ Locally Noetherian Commutative Rings ⋮ NORMAL PAIRS WITH ZERO-DIVISORS ⋮ Positivity and convexity in rings of fractions ⋮ Noetherian Intersections of Integral Domains ⋮ WELL-CENTERED PAIRS OF RINGS ⋮ Domains with invertible-radical factorization ⋮ Flat ideals III ⋮ Localization and invariant theory ⋮ On the localization ring of a ring ⋮ On flat overrings, ideal transforms and generalized transforms of a commutative ring ⋮ Perinormal rings with zero divisors

Cites Work

• Addition and correction to my paper “A treatise on the 14-th problem of Hilbert”
• Generalized Quotient Rings
• Über eine Charakterisierung der GRELLschen Schemata
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