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Noncommutativity and noncentral zero divisors

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  • Howard E. Bell
  • Abraham A. Klein

Abstract

Let R be a ring, Z its center, and D the set of zero divisors. For finite noncommutative rings, it is known that D \ Z ≠ ∅ . We investigate the size of | D \ Z | in this case and, also, in the case of infinite noncommutative rings with D \ Z ≠ ∅ .

Suggested Citation

  • Howard E. Bell & Abraham A. Klein, 1999. "Noncommutativity and noncentral zero divisors," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 22, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:658726
    DOI: 10.1155/S0161171299220674
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