The 3-centre and commutativity theorems

DOI10.1007/BF01896130zbMath0432.16019OpenAlexW2071355428MaRDI QIDQ3869494

Howard E. Bell

Publication date: 1979

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01896130

zbMATH Keywords

nilpotent elementsprime ringLie idealnil idealgeneralized 3-centre

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Modules, bimodules and ideals in associative algebras (16Dxx)

Cites Work

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• The \(n\)-center of a ring
• Finite rings in which the product of any two zero divisors is zero
• Central polynomials for matrix rings
• On some commutativity theorems of Herstein
• A Commutativity Condition for Rings
• Some commutativity results for periodic rings
• A note on rings with central nilpotent elements
• A commutativity theorem