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ON GENERALIZED (σ,ι)-DERIVATIONS Ⅱ

Raluca Mocanu|Hulya G. Inceboz
대한수학회 (The Korean Mathematical Society)|2010.05|대한수학회지 (Journal of the KMS)|제47권 제3호|pp. 495-504

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키워드

derivationLie derivationexact sequence
주제분류수학

초록

This paper continues a line investigation in [1]. Let A be a K-algebra and M an A/K-bimodule. In [5] Hamaguchi gave a necessary and sufficient condition for gDer(A,M) to be isomorphic to BDer(A,M). The main aim of this paper is to establish similar relationships for generalized (σ,ι)-derivations.

Abstract

This paper continues a line investigation in [1]. Let A be a K-algebra and M an A/K-bimodule. In [5] Hamaguchi gave a necessary and sufficient condition for gDer(A,M) to be isomorphic to BDer(A,M). The main aim of this paper is to establish similar relationships for generalized (σ,ι)-derivations.

참고문헌 (11)

  1. N. Argac, "On generalized (¾, ¿)-derivations", Sibirsk. Mat. Zh., 43(6), pp.1211~1221 (2002)
  2. M. Bre˜sar, "On the distance of the composition of two derivations to the generalized derivations", Glasgow Math. J., 33(1), pp.89~93 (1991)
  3. M. Bre˜sar, "Jordan (£, Á)-derivations", Glas. Mat. Ser. III, 26(1), pp.13~17 (1991)
  4. J. M. Cusack, "Jordan derivations on rings", Proc. Amer. Math. Soc., 53(2), pp.321~324 (1975)
  5. N. Hamaguchi, "Generalized d-derivations of rings without unit elements", Sci. Math. Jpn., 54(2), pp.337~342 (2001)
  6. I. N. Herstein, "Jordan derivations of prime rings", Proc. Amer. Math. Soc., 8, pp.1104~1110 (1957)
  7. I. N. Herstein, "Topics in Ring Theory" (1969), The University of Chicago Press
  8. T. W. Hungerford, "Algebra" (1974), Holt, Rinehart and Winston, Inc.
  9. A. Nakajima, "On categorical properties of generalized derivations", Sci. Math., 2(3), pp.345~352 (1999)
  10. A. Nakajima, "Generalized Jordan derivations, International Symposium on Ring Theory", pp.235~243 (2001), Trends Math.
  11. A. Nakajima, "On generalized higher derivations", Turkish J. Math., 24(3), pp.295~311 (2000)

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