Distributive rings with goldie dimension one

DOI10.1080/00927879108824179zbMath0812.16032OpenAlexW2011705468MaRDI QIDQ3971512

Ryszard Mazurek

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879108824179

zbMATH Keywords

Goldie dimensionright chain ringsright annihilatorscompletely prime idealsright distributive ringslattice of right idealsright zero divisors

Mathematics Subject Classification ID

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

Related Items (13)

On the ideal structure of right distributive rings ⋮ On distributive modules and rings. ⋮ Endomorphism rings, power series rings, and serial modules ⋮ On Annelidan, Distributive, and Bézout Rings ⋮ Unnamed Item ⋮ Rings with Annihilator Chain Conditions and Right Distributive Rings ⋮ Rings with linearly ordered right annihilators ⋮ Comparizer Ideals of Rings ⋮ When every torsion preradical is a torsion radical ⋮ Semidistributive modules ⋮ On semiprime segments of rings ⋮ Hereditary and Semiperfect Distributive Rings ⋮ Distributive modules and rings and their close analogs

Cites Work

• Remarks on zero-divisors in chain rings
• On nilpotent element of distributive rings
• The strongly prime radical of crossed products
• Modules Whose Lattice of Submodules is Distributive

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