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On some center-like subsets of rings

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Publication:1090749
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DOI10.1007/BF01189630zbMath0622.16014OpenAlexW2035690409MaRDI QIDQ1090749

Itzhak Nada, Howard E. Bell

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189630


zbMATH Keywords

centercommutativitysemi-prime ringhigher commutatorssemi-simple ring


Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)


Related Items (3)

An Engel condition with derivation for left ideals ⋮ Ring analogues of Baer's norm and P. Hall's margins ⋮ Ring subsets that be center-like subsets



Cites Work

  • Quasi-centers, quasi-commutators, and ring commutativity
  • On generalized commutators and nil commutator ideals
  • The algebraic hypercenter and some applications
  • Some generalizations of the center of a ring
  • On the hypercenter of a ring
  • Some rings with nil commutator ideals
  • Engel Rings and a Result of Herstein and Kaplansky
  • Derivations in Prime Rings
  • A Commutativity Theorem for Rings
  • A COUNTEREXAMPLE IN NOETHERIAN RINGS
  • A Theorem on Division Rings
  • Two Remarks On The Commutativity Of Rings
  • Some commutativity results for rings




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