Iterated differential polynomial rings over locally nilpotent rings

DOI10.1080/00927872.2020.1797075zbMath1460.16020arXiv2007.07446OpenAlexW3045896367MaRDI QIDQ3386843

Jooyoung Shin, Steven Jin

Publication date: 7 January 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.07446

zbMATH Keywords

differential polynomial ringBehrens radicallocally nilpotent ring

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Cites Work

• Differential polynomial rings over locally nilpotent rings need not be Jacobson radical.
• On differential polynomial rings over locally nilpotent rings
• On polynomial rings over nil rings in several variables and the central closure of prime nil rings
• Five solved problems on radicals of Ore extensions
• On maximal ideals and the brown-mccoy radical of polynomial rings
• Differential polynomial rings in several variables over locally nilpotent rings
• Logical connections between some open problems concerning nil rings
• Polynomial rings over nil rings cannot be homomorphically mapped onto rings with nonzero idempotents

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