On rings with a particular variable identity

DOI10.1016/0021-8693(80)90187-8zbMath0427.16015OpenAlexW2094511952MaRDI QIDQ1136833

I. N. Herstein

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90187-8

zbMATH Keywords

nilpotent elementsnil idealscommutativitycommutator ideal

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Rings with polynomial identity (16Rxx)

Related Items (7)

A commutativity result for rings ⋮ On generalized commutators and nil commutator ideals ⋮ Some commutativity results for rings ⋮ Some commutativity results for rings ⋮ Commutativity conditions for rings: 1950-2005. ⋮ On a conjecture by Herstein ⋮ RINGS SATISFYING GENERALIZED ENGEL CONDITIONS

Cites Work

• Rings radical over P. I. subrings
• On the hypercenter of a ring
• Invariant subrings of a certain kind
• On the Lie structure of an associative ring
• A commutativity theorem
• Unnamed Item
• Unnamed Item
• Unnamed Item

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