Rings with xn − x nilpotent

DOI10.1142/S0219498820500656zbMath1457.16036OpenAlexW2942644606WikidataQ114614702 ScholiaQ114614702MaRDI QIDQ5113136

Yiqiang Zhou, Tulay Yildirim, Muhammet Tamer Koşan

Publication date: 2 June 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820500656

zbMATH Keywords

subdirect productnil Jacobson radicalring with identity \(x^n=x\) modulo Jacobson radical

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Conditions on elements (16U99) Jacobson radical, quasimultiplication (16N20)

Related Items (9)

Sums of commuting potent and nilpotent elements in rings ⋮ Rings whose elements are sums of m-potents and nilpotents ⋮ A symmetric generalization of \(\pi\)-regular rings ⋮ Some new characterizations of periodic rings ⋮ Symmetrization in Clean and Nil-Clean Rings ⋮ Generalized Zhou inverses in rings ⋮ On rings with xn − x nilpotent ⋮ Rings with xn + x or xn − x nilpotent ⋮ Rings generalized by tripotents and nilpotents

Cites Work

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• Nil-clean and strongly nil-clean rings.
• Nil clean rings.
• Rings in which every element is the sum of two idempotents
• Rings in which elements are sums of nilpotents, idempotents and tripotents
• Nil-clean group rings
• Strongly 2-nil-clean rings
• On the Structure of Algebraic Algebras and Related Rings

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