On \(n\)-th commutators with nilpotent or regular values in rings

DOI10.1007/BF02845080zbMath0794.16026OpenAlexW2020353365MaRDI QIDQ1192097

Angela Valenti

Publication date: 27 September 1992

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02845080

zbMATH Keywords

regularnilpotentsemiprime ring with involutionnil right ideals\(n\)-th commutator

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (3)

A note on \(k\)-th commutators in an associative ring ⋮ On the generalized hypercentralizer of a Lie ideal in a prime ring ⋮ HYPERCOMMUTING VALUES IN ASSOCIATIVE RINGS WITH UNITY

Cites Work

• Lie ideals with regular and nilpotent elements and a result on derivations
• Rings with nil and power central \(k\)-th commutators
• Algebraic valued functions on noncommutative rings
• General polynomial identities. II
• Algebraic conditions on rings with involution
• Nill^∗-polynomials in rings
• Periodic and Nil Polynomials in Rings
• Rings with Involution in which Every Trace is Nilpotent or Regular
• Multilinear polynomials with invertible values
• Unnamed Item
• Unnamed Item

This page was built for publication: On \(n\)-th commutators with nilpotent or regular values in rings