Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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RESULTS OF 3-DERIVATIONS AND COMMUTATIVITY FOR PRIME RINGS WITH INVOLUTION INVOLVING SYMMETRIC AND SKEW SYMMETRIC COMPONENTS

  • Received : 2023.05.25
  • Accepted : 2023.09.13
  • Published : 2024.01.31
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Abstract

This article examines the connection between 3-derivations and the commutativity of a prime ring R with an involution * that fulfills particular algebraic identities for symmetric and skew symmetric elements. In practice, certain well-known problems, such as the Herstein problem, have been studied in the setting of three derivations in involuted rings.

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References

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