On LPI rings

DOI10.15672/hujms.456426zbMath1479.13003OpenAlexW2976229659MaRDI QIDQ5160572

Rachida El Khalfaoui, Najib Mahdoua, Abdeslam Mimouni

Publication date: 29 October 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.456426

zbMATH Keywords

trivial extensionpullbackamalgamation of ringsregular idealslocally principal ideals\(LPI\)-rings

Mathematics Subject Classification ID

Principal ideal rings (13F10) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

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• Transfer of multiplication-like conditions in amalgamated algebra along an ideal
• Flat ideals and stability in integral domains
• Idealization of a module
• Bazzoni's conjecture
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Trivial extensions defined by Prüfer conditions
• Commutative coherent rings
• Flat ideals. II
• Class semigroups of Prüfer domains
• New Algebraic Properties of an Amalgamated Algebra Along an Ideal
• Integral Domains in Which Nonzero Locally Principal Ideals are Invertible
• Clifford semigroups of ideals in monoids and domains
• Idealization and Theorems of D. D. Anderson
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal
• Flat idelas i
• A characterization of cancellation ideals
• A NOTE ON LPI DOMAINS
• LPIdomains and Pullbacks
• Idealization and Theorems of D. D. Anderson II
• Two questions on domains in which locally principal ideals are invertible

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