Root and integral closure for \(R[[X]]\)

DOI10.1016/0021-8693(82)90062-XzbMath0531.13003OpenAlexW2094960241MaRDI QIDQ788055

John J. Watkins

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90062-x

zbMATH Keywords

power series ringintegral closurevon Neumann regular ring\(n\)-root closed subring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Formal power series rings (13F25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

An approach to the Jacobian conjecture in terms of irreducibility and square-freeness ⋮ When is a power series ring \(n\)-root closed? ⋮ Root closure in integral domains, II ⋮ On the extension of derivations to some closures ⋮ Root closure

Cites Work

• Seminormality and root closure in polynomial rings and algebraic curves
• Coherence and weak global dimension of \(RX\) when \(R\) is von Neumann regular
• Krull Dimension in Power Series Rings

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