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SYMMETRY OVER CENTERS

KIM, DONG HWA;LEE, YANG;SUNG, HYO JIN;YUN, SANG JO

  • Received : 2015.01.19
  • Accepted : 2015.07.24
  • Published : 2015.12.25

Abstract

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.

Keywords

symmetric-over-center ring;center;symmetric ring

References

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Acknowledgement

Supported by : Pusan National University