On nilpotent element of distributive rings

DOI10.1080/00927879008823925zbMath0715.16002OpenAlexW1991212473MaRDI QIDQ3202250

Ryszard Mazurek, Edmund R. Puczylowski

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008823925

zbMATH Keywords

nilpotent elementsJacobson radicalcompletely prime ideallattice of left idealsright annihilatorleft distributive ringsgeneralized nil radical

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25)

Related Items

On the ideal structure of right distributive rings, Distributive rings with goldie dimension one, Rings of endomorphisms and distributivity, Endomorphism rings, power series rings, and serial modules, On semidistributive rings, On Annelidan, Distributive, and Bézout Rings, Unnamed Item, Rings with Annihilator Chain Conditions and Right Distributive Rings, Rings with linearly ordered right annihilators, On Extensions of Chain Algebras and Atoms of the Lattice of Radicals, Comparizer Ideals of Rings, Semidistributive modules, Distributive modules and rings and their close analogs

Cites Work

• Locally Archimedian right-ordered groups and locally invariant valuation rings
• The strongly prime radical of crossed products
• Modules Whose Lattice of Submodules is Distributive