On rings whose Jacobson radical coincides with upper nilradical

DOI10.3906/mat-2012-30zbMath1493.16016OpenAlexW3144167583MaRDI QIDQ5100240

Yanli Ren, Yao Wang, Guanglin Ma

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2012-30

zbMATH Keywords

radicalJN ringright SR ringsoclean ring

Mathematics Subject Classification ID

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

Cites Work

• Weakly UU rings
• Regularity conditions and the simplicity of prime factor rings
• Idealization of a module
• Structure and topological conditions of NI rings.
• Jacobson radical of skew polynomial rings and skew group rings
• The Jacobson radical of commutative group rings
• Semiregular, semiperfect and perfect rings relative to an ideal.
• Semiregular, weakly regular, and \(\pi\)-regular rings
• Weakly invo-clean unital rings
• Commutative weakly nil clean unital rings.
• Soclean rings
• Nil clean rings.
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• ON JACOBSON AND NIL RADICALS RELATED TO POLYNOMIAL RINGS
• Fine rings: A new class of simple rings
• On Skew Triangular Matrix Rings
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• INVO-CLEAN UNITAL RINGS
• On StronglyJ-Clean Rings
• I-Rings
• Lifting Idempotents and Exchange Rings
• Exchange rings, units and idempotents
• ASSOCIATED PRIMES OVER SKEW POLYNOMIAL RINGS
• WEAKLY SEMI-BOOLEAN UNITAL RINGS
• Study of formal triangular matrix rings
• Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
• Extensions and topological conditions of NJ rings
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