The Jacobson radical of rings with nilpotent homogeneous elements

DOI10.1112/blms/bdn086zbMath1161.16012OpenAlexW2125993018WikidataQ114949931 ScholiaQ114949931MaRDI QIDQ5504100

Agata Smoktunowicz

Publication date: 21 January 2009

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://www.pure.ed.ac.uk/ws/files/8674813/The_Jacobson_radical_of_rings_with_nilpotent_homogeneous_elements.pdf

zbMATH Keywords

nilpotent elementsgraded algebrasJacobson radicalnil algebras

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Graded rings and modules (associative rings and algebras) (16W50) Jacobson radical, quasimultiplication (16N20)

Related Items (9)

How far can we go with Amitsur's theorem in differential polynomial rings? ⋮ Free subalgebras of graded algebras ⋮ On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation ⋮ On the Jacobson radical of a groupoid graded ring ⋮ Differential polynomial rings over locally nilpotent rings need not be Jacobson radical. ⋮ Filtered algebraic algebras ⋮ A NOTE ON NIL AND JACOBSON RADICALS IN GRADED RINGS ⋮ Iterative algebras. ⋮ Maximal Subgroups and Irreducible Representations of Generalized Multi-Edge Spinal Groups

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