Zip property of certain ring extensions.

DOI10.1016/J.JPAA.2015.06.015zbMath1334.16019OpenAlexW1433846416MaRDI QIDQ886983

Jerzy Matczuk, André Leroy

Publication date: 27 October 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.06.015

zbMATH Keywords

Hopf algebrasmatrix ringsring extensionsright annihilatorsright zip ringsrings of quotientszip property

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Related Items (3)

On transfer of annihilator conditions of rings ⋮ On a theorem of McCoy ⋮ Solution of an open problem on cofaithful one-sided ideals

Cites Work

• Biinvertible actions of Hopf algebras
• Rings with zero intersection property on annihilators: zip rings
• Fixed rings of finite automorphism groups of associative rings
• Rings whose faithful left ideals are cofaithful
• Extensions of zip rings.
• A note on zip rings.
• Zip rings and mal'cev domains
• Bijective Extensions of Injective Ring Endomorphisms
• The Finite Intersection Property on Annihilator Right Ideals
• Chain Conditions for Modular Lattices with Finite Group Actions
• Semiprime smash products and $H$-stable prime radicals for PI-algebras
• Annihilator Properties of Skew Monoid Rings
• Modules Over Coproducts of Rings

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