Analytic extensions of a commutative ring

DOI10.1016/0021-8693(87)90056-1zbMath0672.13009OpenAlexW2074105314MaRDI QIDQ1119973

Robert Pervine, Avinash Sathaye, Paul M. jun. Eakin

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)90056-1

zbMATH Keywords

formal power seriesclosed idealcommutative ring extensions

Mathematics Subject Classification ID

Extension theory of commutative rings (13B02) Formal power series rings (13F25)

Related Items (6)

The behavior of regular sequences under passage from r to r/i ⋮ Regular sequences under passage from R to R/I ⋮ On power invariant rings ⋮ Formal functions on prevalued domains ⋮ Some remarks on the permutability of regular sequences ⋮ Quasi-Regular Sequences and Regular Sequences

Cites Work

• Unnamed Item
• R-automorphisms of finite order in R((X))
• \(R\)-endomorphisms of \(RX\) are essentially continuous
• Some countability conditions in a commutative ring
• \(R\)-automorphisms of \(RX\)
• The Preparation Theorem and the Freeness of A[[ X ]/I]
• When $(D \lbrack\lbrack X \rbrack\rbrack)_{P \lbrack\lbrack X \rbrack\rbrack$ is a Valuation Ring

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