Amalgamation extension in commutative ring theory: a survey

MaRDI QIDQ6622138

Hwankoo Kim, Najib Mahdou, Abdelhaq El Khalfi

Publication date: 22 October 2024

Published in: Moroccan Journal of Algebra and Geometry with Applications (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Definitions and generalizations in theory of categories (18A05) Commutative ring extensions and related topics (13B99)

Cites Work

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• On weakly semiprime ideals of commutative rings
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Related Items (14)

When every finitely generated regular ideal is finitely presented ⋮ Arithmetical rank for some class of commutative rings ⋮ Rings in which every regular ideal is finitely generated ⋮ Note on bi-amalgamated modules along ideals ⋮ Note on \(UN\)-rings ⋮ On nonnil-very strong finite type commutative rings ⋮ On \(\phi\)-\(P\)-flat modules and \(\phi\)-von Neumann regular rings ⋮ Generalized derivations over amalgamated algebras along an ideal ⋮ On a weak version of \(S\)-Noetherianity ⋮ \(\varphi\)-rings from a module-theoretic point of view: a survey ⋮ On \(\varphi\)-Prüfer and \(\varphi\)-Bézout rings in amalgamation algebra along an ideal ⋮ On residually (Completely) integrally closed rings ⋮ On graded-\((m, n)\)-prime ideals of commutative graded rings ⋮ A note on \((m, n)\)-absorbing primary ideals of commutative rings

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