Coherence and power series rings over pseudo-Bezout domains

DOI10.1016/0021-8693(87)90085-8zbMath0611.13015OpenAlexW2080803664MaRDI QIDQ1087594

B. George

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90085-8

zbMATH Keywords

coherent domainsnon-archimedean valuation domainpseudo-Bézout

Mathematics Subject Classification ID

Valuation rings (13F30) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Non-Archimedean valued fields (12J25) Formal power series rings (13F25)

Related Items (3)

Some Ring-Theoretic Properties of $$\mathbf {A}_{{{\mathrm{inf}\,}}}$$ ⋮ LCM-Stability of Power Series Extensions Characterizes Dedekind Domains ⋮ Comparison of Some Purities, Flatnesses and Injectivities

Cites Work

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• Groupes et anneaux reticules
• Coherence and weak global dimension of \(RX\) when \(R\) is von Neumann regular
• Direct Products of Modules
• Power Series over Coherent Rings.

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