On the ideal structure of right distributive rings

DOI10.1080/00927879308824701zbMath0833.16001OpenAlexW2129535815MaRDI QIDQ5287613

Günter Törner, Miguel Ferrero

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824701

zbMATH Keywords

group of unitsJacobson radicalGoldie dimensionright chain ringscompletely prime idealsright distributive ringslattice of right idealswaistsright \(D\)-ringsright multiplicative idealsright multiplicative waists

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) General radicals and associative rings (16N80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (14)

On distributive modules and rings. ⋮ Endomorphism rings, power series rings, and serial modules ⋮ On semidistributive rings ⋮ On Annelidan, Distributive, and Bézout Rings ⋮ Unnamed Item ⋮ Rings with linearly ordered right annihilators ⋮ RightP-Comparable Semigroups ⋮ On Extensions of Chain Algebras and Atoms of the Lattice of Radicals ⋮ Comparizer Ideals of Rings ⋮ Pseudo-Chain Rings and Pseudo-Uniserial Modules ⋮ Semidistributive modules ⋮ On semiprime segments of rings ⋮ Hereditary and Semiperfect Distributive Rings ⋮ Distributive modules and rings and their close analogs

Cites Work

• Über N. I. Dubrovin's Ansatz zur Konstruktion von nicht vollprimen Primidealen in Kettenringen. (On N. I. Dubrovin's attempt to the construction of not completely prime prime ideals in chain rings)
• Rings with a distributive lattice of right ideals
• On Two-Sided Right Ideals in Chain Domains
• On nilpotent element of distributive rings
• Distributive rings with goldie dimension one
• Modules Whose Lattice of Submodules is Distributive

This page was built for publication: On the ideal structure of right distributive rings