On rings with prime centers

Hazar Abu-Khuzam and Adil Yaqub

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-4

Abstract:

Let R be a ring, and let C denote the center of R . R is said to have a prime center if whenever a b belongs to C then a belongs to C or b belongs to C . The structure of certain classes of these rings is studied, along with the relation of the notion of prime centers to commutativity. An example of a non-commutative ring with a prime center is given.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:520829

DOI: 10.1155/S0161171294000943

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