Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SYMMETRY OVER CENTERS

  • KIM, DONG HWA (Department of Mathematics Education, Pusan National University) ;
  • LEE, YANG (Department of Mathematics Education, Pusan National University) ;
  • SUNG, HYO JIN (Department of Mathematics, Pusan National University) ;
  • YUN, SANG JO (Department of Mathematics, Pusan National University)
  • Received : 2015.01.19
  • Accepted : 2015.07.24
  • Published : 2015.12.25
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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.

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References

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