Ideals contracted from each extension ring

DOI10.1080/00927877908822349zbMath0401.13002OpenAlexW1992401107MaRDI QIDQ4184969

Robert Gilmer, Stephen McAdam

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822349

zbMATH Keywords

AnnihilationUniversally Contracted Ideal

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02)

Related Items

Variations of essentiality of ideals in commutative rings ⋮ Countable strongly annihilated ideals in commutative rings ⋮ Ideals contracted from a Noetherian extension ring ⋮ Associative rings ⋮ A lifting approach to v- and t-ideals ⋮ On the sublocale of an algebraic frame induced by the \(d\)-nucleus ⋮ Universally contracted ideals in commutative rings

Cites Work

• On the ubiquity of Gorenstein rings
• Primes and annihilators
• Remarks on Divisors of Zero