Some commutativity results for periodic rings

DOI10.1007/BF01896791zbMath0335.16035OpenAlexW2049935680MaRDI QIDQ4102011

Howard E. Bell

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf01896791

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Alternative rings (17D05)

Related Items (15)

On rings with weakly prime centers. ⋮ Weakly periodic rings with conditions on commutators ⋮ On Fermat's theorem for matrices and the periodic identities of \(M_n(GF(q))\) ⋮ On quasi-periodic rings ⋮ Rings in which derivations satisfy certain algebraic conditions ⋮ Ring analogues of Baer's norm and P. Hall's margins ⋮ Commutativity results for periodic rings ⋮ Structure of rings with certain conditions on zero divisors. ⋮ Commutativity of rings satisfying certain polynomial identities ⋮ Algebraic radicals and incidence algebras ⋮ The 3-centre and commutativity theorems ⋮ Commutativity of Rings with Constraints Involving a Subset ⋮ On commutativity of periodic rings and near-rings ⋮ Extending commutativity results to alternative rings ⋮ On rings with powers commuting on subsets

Cites Work

• Unnamed Item
• Power maps in rings
• Some rings with nil commutator ideals
• A remark on rings and algebras
• Finite rings in which the product of any two zero divisors is zero
• On some commutativity theorems of Herstein
• Finite Power-Associative Division Rings
• A Proof of a Conjecture of Vandiver
• A note on rings with central nilpotent elements
• An elementary proof of a theorem of Jacobson

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