Rings in which elements are sums of nilpotents, idempotents and tripotents

DOI10.1142/S0219498818500093zbMath1415.16034MaRDI QIDQ4599701

Yiqiang Zhou

Publication date: 4 January 2018

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

zbMATH Keywords

idempotentnilpotentBoolean ringtripotentnil-clean elementstrongly nil-clean element

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Conditions on elements (16U99)

Related Items (16)

When is every matrix over a ring the sum of two tripotents? ⋮ Sums of commuting potent and nilpotent elements in rings ⋮ On Hirano inverses in rings ⋮ On characterization of tripotent matrices in triangular matrix rings ⋮ On graded trinil clean rings ⋮ Rings with xn − x nilpotent ⋮ Rings in which every element is a sum of a nilpotent and three tripotents ⋮ Rings over which matrices are sums of idempotent and \(q \)-potent matrices ⋮ On m-clean and strongly m-clean rings ⋮ Unnamed Item ⋮ Strongly \(q\)-nil-clean rings ⋮ Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical ⋮ When is a matrix a sum of involutions or tripotents? ⋮ Generalized Zhou inverses in rings ⋮ On rings with 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 a Sum of Two Tripotents
• Rings in which every element is the sum of two idempotents
• Strongly 2-nil-clean rings
• On the Structure of Algebraic Algebras and Related Rings

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