A prime ideal principle in commutative algebra

DOI10.1016/J.JALGEBRA.2007.07.016zbMath1168.13002OpenAlexW2075505203WikidataQ56059923 ScholiaQ56059923MaRDI QIDQ926853

Manuel L. Reyes, Tsit-Yuen Lam

Publication date: 21 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.07.016

zbMATH Keywords

prime ideal

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (14)

S-principal ideal multiplication modules ⋮ Deformations of overconvergent isocrystals on the projective line ⋮ A note on prime ideal principle in lattices ⋮ A Prime Submodule Principle ⋮ The Euclidean Criterion for Irreducibles ⋮ Noncommutative generalizations of theorems of Cohen and Kaplansky. ⋮ Rigidity of Ext and Tor with Coefficients in Residue Fields of a Commutative Noetherian Ring ⋮ Realizations of pairs and Oka families in tensor triangulated categories ⋮ NEAT AND CONEAT SUBMODULES OF MODULES OVER COMMUTATIVE RINGS ⋮ SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING ⋮ A ONE-SIDED PRIME IDEAL PRINCIPLE FOR NONCOMMUTATIVE RINGS ⋮ On completely prime left ideals of Ore extensions. ⋮ A Prime Ideal Principle for Two-Sided Ideals ⋮ Strongly hollow elements of commutative rings

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• Primes and annihilators
• Elementary Divisors and Modules

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