A multiplicative dual of nil-clean rings

DOI10.4153/S0008439521000059zbMath1495.16038OpenAlexW3126518128MaRDI QIDQ5065907

Yiqiang Zhou

Publication date: 23 March 2022

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

Full work available at URL: https://doi.org/10.4153/s0008439521000059

zbMATH Keywords

idempotentnilpotentnil-clean ringdual nil-clean ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Noncommutative local and semilocal rings, perfect rings (16L30) Conditions on elements (16U99)

Cites Work

• Nil-clean and strongly nil-clean rings.
• Nil-clean matrix rings
• Nil clean rings.
• When is every matrix over a division ring a sum of an idempotent and a nilpotent?
• Fine rings: A new class of simple rings
• Conjugate (nil) clean rings and Köthe’s problem
• UN-rings
• Recognition of matrix rings
• On Strongly Clean Matrix and Triangular Matrix Rings
• Lifting Idempotents and Exchange Rings
• Commutative nil clean group rings
• Nil-clean group rings

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