Ideal Lattices and the Structure of Rings

DOI10.2307/1990782zbMath0050.25903OpenAlexW4245922605MaRDI QIDQ5818518

Robert L. Blair

Publication date: 1953

Full work available at URL: https://doi.org/10.2307/1990782

zbMATH Keywords

rings, modules, fields

Related Items (17)

Über die Erweiterung des Idealverbandes einer Algebra bei Adjunktion eines Einselementes ⋮ Normal structure spaces of groups ⋮ Ideal spaces: An extension of structure spaces of rings ⋮ Ideal theory of semiring ⋮ Near-ring congruences on additively regular seminearrings ⋮ Generalized comaximal factorization of ideals ⋮ Unnamed Item ⋮ A unified theory of minimal prime ideals ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Arithmetical rings ⋮ Unnamed Item ⋮ Variations of primeness and factorization of ideals in Leavitt path algebras ⋮ Completely reducible near-rings ⋮ On (bi) linked group congruences on (bi) linked semigroups ⋮ Semidistributive modules ⋮ Distributive semigroup rings and related topics ⋮ Distributive modules and rings and their close analogs

Cites Work

• Unnamed Item
• Subrings of infinite direct sums
• Über die Ideale arithmetischer Ringe
• On Regular Rings
• Generalized regular rings
• The Position of the Radical in an Algebra
• Topological Representation of Algebras
• Subdirect sums of rings
• Prime Ideals in General Rings
• The Maximal Regular Ideal of a Ring
• Some Theorems on Groups With Applications to Ring Theory
• Prime Ideals and the Lower Radical
• Radical Ideals
• The Radical and Semi-Simplicity for Arbitrary Rings
• Structure Theory of Simple Rings Without Finiteness Assumptions
• A Topology for the Set of Primitive Ideals in an Arbitrary Ring
• On the commutativity of certain rings

This page was built for publication: Ideal Lattices and the Structure of Rings