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ON THE COMMUTATIVITY OF PRIME RINGS USING SOME DIFFERENTIAL IDENTITIES

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초록

Many research have been conducted to investigate the commutativity of prime rings utilizing some functional identities assertions, which shows that functional identities has a significant impact on the ring structures. Using certain differential identities, we extend the literature to demonstrate that prime rings that admit some generalized semi-derivations are integral domains.

Abstract

Many research have been conducted to investigate the commutativity of prime rings utilizing some functional identities assertions, which shows that functional identities has a significant impact on the ring structures. Using certain differential identities, we extend the literature to demonstrate that prime rings that admit some generalized semi-derivations are integral domains.

참고문헌 (7)

  1. M. Ashraf, "some commutativity theorems for rings with generalized derivations", Southeast Asian Bulletin of Mathematics, 31, pp.415~421 (2007)
  2. M. Bresar, "Centralizing mappings and derivations in prime rings", J. Algebra, 156(2), pp.385~394 (1993)
  3. V. De Filippis, "Semi-derivations satisfying certain algebraic identities on Jordan ideals", ISRN Algebra, pp.7~ (2013)[DOI]
  4. A. Firat, "Some results for semi-derivations of prime rings", Int. J. of Pure and Applied Math, 28(3), pp.363~368 (2006)
  5. J. J. Jaraden, "Some differential identities of prime rings", Applied Mathematics and Information Sciences, 17(2), pp.1~5 (2023)
  6. A. Kovacs, "On derivations in prime rings and a question of Herstein", Canad. Math. Bull, 22(3) (1979)
  7. E. Posner, "Derivations in prime rings", Proc. Amer. Math. Soc, 8, pp.1093~1100 (1957)

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