SYMMETRY OVER CENTERS KIM, DONG HWA; LEE, YANG; SUNG, HYO JIN; YUN, SANG JO;
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 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.
symmetric-over-center ring;center;symmetric ring;
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