Root closure in integral domains

DOI10.1016/0021-8693(82)90315-5zbMath0497.13004OpenAlexW2053886521MaRDI QIDQ1170569

David F. Anderson

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)90315-5

zbMATH Keywords

semigroup ringgraded ringhomogeneous elementsseminormal domainn-root closed domain

Mathematics Subject Classification ID

Related Items (13)

Root closure of ideals ⋮ Note on U-closed semigroup rings ⋮ Root closure and R[X] ⋮ An approach to the Jacobian conjecture in terms of irreducibility and square-freeness ⋮ Analogs of Jacobian conditions for subrings ⋮ Polynomial Root Extensions ⋮ On n-semiprimary ideals and n-pseudo valuation domains ⋮ When is a power series ring \(n\)-root closed? ⋮ Root closure in integral domains, II ⋮ Unnamed Item ⋮ On the complete integral closure of a Mori domain ⋮ On the class semigroup of root-closed weakly Krull Mori monoids ⋮ Root closure

Cites Work

• On \(\text{Pic}(R[X)\) for \(R\) seminormal]
• Seminormality and root closure in polynomial rings and algebraic curves
• Seminormality and projective modules over polynomial rings
• Divisorial ideals and invertible ideals in a graded integral domain
• Seminormality
• Divisibility properties in semigroup rings
• Overrings and divisorial ideals of rings of the form \(D+M\)
• Divisibility Properties of Graded Domains
• On seminormal overrings
• How Changing Dx Changes Its Quotient Field
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Root closure in integral domains