Maximal non-Prüfer and maximal non--Prüfer rings

DOI10.1080/00927872.2021.1986517zbMath1482.13015OpenAlexW3207171243MaRDI QIDQ5061605

Rahul Kumar, Atul Gaur

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1986517

zbMATH Keywords

Prüfer ring\(\phi\)-Prüfer ringmaximal non-\(\phi\)-Prüfer ringmaximal non-Prüfer ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Polynomials over commutative rings (13B25) Valuations and their generalizations for commutative rings (13A18) Extension theory of commutative rings (13B02) Rings of fractions and localization for commutative rings (13B30)

Cites Work

• The number of overrings of an integrally closed domain
• Idealization of a module
• Divided rings and going-down
• Chained rings
• Pseudo-valuation domains
• Residually algebraic pairs of rings
• Maximal non-Jaffard subrings of a field
• A note on a class of extensions
• Maximal non \(\phi \)-chained rings and maximal non chained rings
• Every Commutative Ring Has a Minimal Ring Extension
• MAXIMAL NON-PRÜFER AND MAXIMAL NON-INTEGRALLY CLOSED SUBRINGS OF A FIELD
• On Nonnil-Noetherian Rings
• Prüfer rings with zero divisors.
• Factoring Nonnil Ideals into Prime and Invertible Ideals
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