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Commutativity of rings with constraints on commutators

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Bibliography

  1. H. E. Bell, Duo rings: some applications to commutativity theorems. Canad. Math. Bull. 11 (1968), 375–380.

    Article  MathSciNet  MATH  Google Scholar 

  2. H. E. Bell, On some commutativity theorems of Herstein. Arch. Math. 24 (1973), 34–38.

    Article  MATH  Google Scholar 

  3. H. E. Bell, On commutativity of P.I. rings. Aequationes Math. 26 (1983), 83–88.

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Bergen and I. N. Herstein, The algebraic hypercenter and some applications. J. Algebra 85 (1983), 217–242.

    Article  MathSciNet  MATH  Google Scholar 

  5. I. N. Herstein, The structure of a certain class of rings. Amer. J. Math. 75 (1953), 864–871.

    Article  MathSciNet  MATH  Google Scholar 

  6. I. N. Herstein, A condition for the commutativity of rings. Canad. J. Math. 9 (1957), 583–586.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. S. Putcha, R. S. Wilson, and A. Yaqub, Structure of rings satisfying certain identities on commutators. Proc. Amer. Math. Soc. 32 (1972), 57–62.

    Article  MathSciNet  MATH  Google Scholar 

  8. W. Streb, Über einen Satz von Herstein und Nakayama. Rend. Sem. Mat. Univ. Padova 64 (1981), 159–171.

    MathSciNet  MATH  Google Scholar 

  9. G. Thierrin, On duo rings. Canad. Math. Bull. 3 (1960), 167–172.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Brock University, St. Catharines, Ontario, Canada, L2S 3A1

    Howard E. Bell

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  1. Howard E. Bell
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Supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. A3961

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Bell, H.E. Commutativity of rings with constraints on commutators. Results. Math. 8, 123–131 (1985). https://doi.org/10.1007/BF03322664

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  • DOI: https://doi.org/10.1007/BF03322664

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