Rings such that, for each unit u, u − u n belongs to the Jacobson radical

DOI10.15672/HUJMS.542574zbMath1488.16044OpenAlexW3037789072MaRDI QIDQ5162960

Truong Cong Quynh, Jan Žemlička, Tulay Yildirim, Muhammet Tamer Koşan

Publication date: 8 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.542574

zbMATH Keywords

Jacobson radicalunitclean ringreduced ring(semi) regular ring\(\mathrm{UJ}\)-ring\(\mathrm{UU}\)-ring

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Jacobson radical, quasimultiplication (16N20) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

Characterizations of the commutators involving idempotents in certain subrings of $M_{2}(\mathbb{Z})$

Cites Work

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• EXTENSIONS OF CLEAN RINGS
• Rings with unipotent units
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• Semiregular Modules and Rings
• Lifting Idempotents and Exchange Rings
• Strongly clean rings and fitting's lemma
• On abelian π-regular rings
• OnUJ-rings
• Rings with 2-UJ property
• UJ -endomorphism rings
• 𝑛-torsion clean rings
• The p.p. property of trivial extensions
• Rings with a polynomial identity
• On the Structure of Algebraic Algebras and Related Rings

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