Subrings of \(K[y_ 1,\dots ,y_ t]\) of the type \(D+I\)

DOI10.1016/0021-8693(88)90113-5zbMath0656.13009OpenAlexW2019985222MaRDI QIDQ1109827

S. Visweswaran

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90113-5

zbMATH Keywords

NoetherianS-ringN-ringLaskerianzero-divisor ring

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Other special types of modules and ideals in commutative rings (13C13)

Related Items (9)

When Is (K + I,K[y₁,…,y_t) a Mori Pair?] ⋮ Various Facets of Rings BetweenD[X andK[X]] ⋮ A note on universally zero-divisor rings ⋮ Intermediate rings between D+I And K [y₁,…,y_t] ⋮ Sur quelques propriétés des sous-anneaux de la forme D+I dun anneau intègre ⋮ Some Examples in the Theory of Factorization in Integral Domains ⋮ Prime divisors of powers of ideals in some Laskerian rings ⋮ accr pairs ⋮ On the class group of a pullback

Cites Work

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• Strong S-domains
• N-rings and ACC on colon ideals
• Ideals contracted from a Noetherian extension ring
• \(D+M\) constructions with general overrings
• The construction \(D+XD_s[X\)]
• The converse to a well known theorem on Noetherian rings
• Overrings and divisorial ideals of rings of the form \(D+M\)
• When is D + M Coherent?
• Zero Divisors in Noetherian-Like Rings

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