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Noncommutativity and noncentral zero divisors

Howard E. Bell and Abraham A. Klein

International Journal of Mathematics and Mathematical Sciences, 1999, vol. 22, 1-8

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 ≠ ∅ .

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:658726

DOI: 10.1155/S0161171299220674

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