The graded ring \(R[X_1,\dots,X_n\)

DOI10.1216/RMJ-1979-9-3-415zbMath0428.13009OpenAlexW2034359087MaRDI QIDQ1137077

Jon L. Johnson

Publication date: 1979

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1979-9-3-415

zbMATH Keywords

graded ringgraded integral domaingraded Krull dimensiongraded primesgraded rankgraded valuation ringshomogeneous elementvaluation functions

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Valuations and their generalizations for commutative rings (13A18) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (9)

\(G\)-valuations and \(G\)-valuation rings ⋮ Graded pseudo-valuation domains ⋮ Graded Prüfer domains ⋮ Graded almost valuation domains ⋮ Homogenization and dimension in Λ - graded rings ⋮ Graded-valuation domains ⋮ The space of homogeneous preserving semistar operations on graded domains ⋮ Graded powerful ideals in a graded integral domain ⋮ A characterization of graded pseudo-valuation domains

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