Graded-valuation domains

DOI10.1080/00927872.2016.1254784zbMath1390.13002OpenAlexW2553619345MaRDI QIDQ4977661

Gyu Whan Chang, David F. Anderson, Daniel D. Anderson

Publication date: 16 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1254784

zbMATH Keywords

twisted semigroup ringgarded integral domaingraded-valuation domain

Mathematics Subject Classification ID

Graded rings (13A02) Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (10)

Twisted polynomial and power series rings ⋮ \(G\)-valuations and \(G\)-valuation rings ⋮ Graded pseudo-valuation domains ⋮ Graded almost valuation domains ⋮ The space of homogeneous preserving semistar operations on graded domains ⋮ Graded powerful ideals in a graded integral domain ⋮ Uniformly graded-coherent rings ⋮ Commutative graded-$n$-coherent and graded valuation rings ⋮ On graded pseudo-valuation domains ⋮ A characterization of graded pseudo-valuation domains

Cites Work

• The graded ring \(R[X_1,\dots,X_n\)
• Valuations and semi-valuations of graded domains
• Integral closure and generalized transforms in graded domains
• Divisorial ideals and invertible ideals in a graded integral domain
• Valuation monoids, defining systems, and approximation theorems
• Torsion-free Abelian Groups, Valuations and Twisted Group Rings
• Divisibility Properties of Graded Domains

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