Matlis’ semi-regularity in trivial ring extensions of integral domains

DOI10.4064/CM7032-12-2016zbMath1391.13016arXiv1604.02795OpenAlexW2747621287MaRDI QIDQ4596100

K. Adarbeh, Salah-Eddine Kabbaj

Publication date: 30 November 2017

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02795

zbMATH Keywords

coherent ringsemi-regular ringtrivial ring extensionidealization

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Projective and free modules and ideals in commutative rings (13C10) Commutative Noetherian rings and modules (13E05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (11)

Some remarks on Nonnil-coherent rings and ϕ-IF rings ⋮ Zaks' conjecture on rings with semi-regular proper homomorphic images ⋮ Module-theoretic characterizations of the ring of finite fractions of a commutative ring ⋮ On $n$-absorbing prime ideals of commutative rings ⋮ Amalgamations of commutative feebly clean-like rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Reductions and cores of ideals in trivial ring extensions ⋮ Relative FP-injective modules and relative IF rings ⋮ Unnamed Item ⋮ Trivial extensions subject to semi-regularity and semi-coherence

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