Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical

DOI10.4153/S0008439519000092zbMath1490.16091OpenAlexW2922424827MaRDI QIDQ5242547

Tulay Yildirim, Yiqiang Zhou, Muhammet Tamer Koşan

Publication date: 12 November 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439519000092

zbMATH Keywords

idempotentJacobson radicalBoolean ringtripotentidempotent lifting modulo Jacobson radicalsemi-Boolean ring

Mathematics Subject Classification ID

Conditions on elements (16U99) Jacobson radical, quasimultiplication (16N20)

Related Items (9)

Rings over which matrices are products of q-potents ⋮ Nil 𝒢-cleanness and strongly nil 𝒢-cleanness of rings ⋮ Almost quasi clean rings ⋮ On graded trinil clean rings ⋮ Some new characterizations of periodic rings ⋮ Rings with 2-UJ property ⋮ When is a matrix a sum of involutions or tripotents? ⋮ Rings generalized by tripotents and nilpotents ⋮ Certain additive decompositions in a noncommutative ring

Cites Work

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• A CLASS OF EXCHANGE RINGS
• Lifting Idempotents and Exchange Rings
• Rings in which every element is the sum of two idempotents
• OnUJ-rings
• Rings in which elements are sums of nilpotents, idempotents and tripotents
• Strongly 2-nil-clean rings
• On the Group Ring
• On the Structure of Algebraic Algebras and Related Rings

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