SYMMETRY OVER CENTERS

The symmetric ring property was due to Lambek and provided many useful results in relation with noncommutative ring theory. In this note we consider this property over centers, introducing {\it symmetric-over-center}. It is shown that symmetric and symmetric-over-center are independent of each other...

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Veröffentlicht in:Honam mathematical journal 2015, 37(4), , pp.377-386
Hauptverfasser: KIM, DONG HWA, LEE, YANG, SUNG, HYO JIN, YUN, SANG JO
Format: Artikel
Sprache:eng
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Zusammenfassung:The symmetric ring property was due to Lambek and provided many useful results in relation with noncommutative ring theory. In this note we consider this property over centers, introducing {\it symmetric-over-center}. It is shown that symmetric and symmetric-over-center are independent of each other. The structure of symmetric-over-center ring is studied in relation to various radicals of polynomial rings. KCI Citation Count: 1
ISSN:1225-293X
2288-6176
DOI:10.5831/HMJ.2015.37.4.377