Reductions and cores of ideals in trivial ring extensions

DOI10.1142/s0219498823501591zbMath1520.13002OpenAlexW4280518403MaRDI QIDQ6108915

Abdeslam Mimouni, Salah-Eddine Kabbaj

Publication date: 30 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501591

zbMATH Keywords

core of an idealbasic idealtrivial ring extensiondivisible modulereduction of an ideal

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

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