Another generalization of principal ideal rings

DOI10.1016/0021-8693(77)90318-0zbMath0406.13004OpenAlexW2081714676MaRDI QIDQ1257513

Daniel D. Anderson

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90318-0

zbMATH Keywords

Characterization of Complete Local Gaussian RingMinimal BasisPrincipal Ideal Rings

Mathematics Subject Classification ID

Principal ideal rings (13F10) Polynomials over commutative rings (13B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (7)

Module cancellation properties ⋮ Gaussian properties of total rings of quotients ⋮ ½ Cancellation Modules and Homogeneous Idealization II ⋮ Armendariz rings and gaussian rings ⋮ The weak dimensions of Gaussian rings ⋮ Dilworth's principal elements ⋮ Condensed Rings with Zero-Divisors^#

Cites Work

• Unnamed Item
• Abstract commutative ideal theory without chain condition
• Weak join-principal element lattices
• On the structure of principal ideal rings
• Join-Principal Element Lattices
• The Existence of Dual Modules
• Gauss' Lemma
• On the Structure and Ideal Theory of Complete Local Rings

This page was built for publication: Another generalization of principal ideal rings