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A Note on Certain Central Differential Identities with Generalized Derivations ABSTRACT | FULL TEXT

Year 2012, Volume: 41 Issue: 6, 847 - 852, 01.06.2012

References

  • Beidar, K. I., Martindale W. S. and Mikhalev, V. Rings with generalized identities (Pure and Applied Math., Dekker, New York, 1996).
  • Bresar, M. A note on derivations, Math. J. Okayama Univ. 32, 83–88, 1990.
  • Chang, C. M. Power central values of derivations on multilinear polynomials, Taiwanese J. Math. 7 (2), 329–338, 2003.
  • Chang, C. M. and Lee, T. K. Annihilators of power values of derivations in prime rings, Comm. Algebra, 26 (7), 2091–2113, 1998.
  • Chuang, C. L. On invariant additive subgroups, Israel J. Math. 57 (1), 116–128, 1987.
  • Chuang, C. L. and Lee, T. K. Rings with annihilator conditions on multilinear polynomials, Chinese J. Math. 24 (2), 177–185, 1996.
  • Filippis, V., De. Annihilators of power values of generalized derivations on multilinear polynomials, Bull. Austr. Math. Soc. 80, 217–232, 2009.
  • Hvala, B. Generalized derivations in rings, Comm. Algebra, 26 (4), 1147–1166, 1998.
  • Kharchenko, V. K. Differential identities of prime rings, Algebra and Logic 17, 155–168, 1978. [10] Lee, P. H. and Wong, T. L. Derivations cocentralizing Lie ideals, Bull. Inst. Math. Academia Sinica 23, 1–5, 1995.
  • Lee, T. K. Generalized derivations of left faithful rings, Comm. Algebra 27 (8), 4057–4073, 1999. [12] Lee, T. K. Left annihilators characterized by GPIs, Trans. Amer. Math. Soc. 347, 3159– 3165, 1995.
  • Lee, T. K. Semiprime rings with differential identities, Bull. Inst. Math. Acad. Sinica, 20 (1), 27–38, 1992.
  • Lee, T. K. Independence property of polynomials in prime rings, Bull. Inst. Math. Acad. Sinica 25, 19–28, 1997.
  • Lee, T. K. and Lin, J. S. A result on derivations, Proc. Amer. Math. Soc. 124 (6), 1687–1691, 1996. [16] Lee, T. K. and Shiue, W. K. Identities with generalized derivations, Comm. Algebra 29 (10), 4435–4450, 2001.
  • Martindale, W. S. III Prime rings satisfying a generalized polynomial identity, J. Algebra, 12, 576–584, 1969.
  • Rowen, L. H. Polynomial identities in Ring Theory (Academic Press, New York, 1980).
  • Wang, Y. Generalized derivations with power central values on multilinear polynomials, Algebra Colloquium 13 (3), 405–410, 2006.

A Note on Certain Central Differential Identities with Generalized Derivations ABSTRACT | FULL TEXT

Year 2012, Volume: 41 Issue: 6, 847 - 852, 01.06.2012

References

  • Beidar, K. I., Martindale W. S. and Mikhalev, V. Rings with generalized identities (Pure and Applied Math., Dekker, New York, 1996).
  • Bresar, M. A note on derivations, Math. J. Okayama Univ. 32, 83–88, 1990.
  • Chang, C. M. Power central values of derivations on multilinear polynomials, Taiwanese J. Math. 7 (2), 329–338, 2003.
  • Chang, C. M. and Lee, T. K. Annihilators of power values of derivations in prime rings, Comm. Algebra, 26 (7), 2091–2113, 1998.
  • Chuang, C. L. On invariant additive subgroups, Israel J. Math. 57 (1), 116–128, 1987.
  • Chuang, C. L. and Lee, T. K. Rings with annihilator conditions on multilinear polynomials, Chinese J. Math. 24 (2), 177–185, 1996.
  • Filippis, V., De. Annihilators of power values of generalized derivations on multilinear polynomials, Bull. Austr. Math. Soc. 80, 217–232, 2009.
  • Hvala, B. Generalized derivations in rings, Comm. Algebra, 26 (4), 1147–1166, 1998.
  • Kharchenko, V. K. Differential identities of prime rings, Algebra and Logic 17, 155–168, 1978. [10] Lee, P. H. and Wong, T. L. Derivations cocentralizing Lie ideals, Bull. Inst. Math. Academia Sinica 23, 1–5, 1995.
  • Lee, T. K. Generalized derivations of left faithful rings, Comm. Algebra 27 (8), 4057–4073, 1999. [12] Lee, T. K. Left annihilators characterized by GPIs, Trans. Amer. Math. Soc. 347, 3159– 3165, 1995.
  • Lee, T. K. Semiprime rings with differential identities, Bull. Inst. Math. Acad. Sinica, 20 (1), 27–38, 1992.
  • Lee, T. K. Independence property of polynomials in prime rings, Bull. Inst. Math. Acad. Sinica 25, 19–28, 1997.
  • Lee, T. K. and Lin, J. S. A result on derivations, Proc. Amer. Math. Soc. 124 (6), 1687–1691, 1996. [16] Lee, T. K. and Shiue, W. K. Identities with generalized derivations, Comm. Algebra 29 (10), 4435–4450, 2001.
  • Martindale, W. S. III Prime rings satisfying a generalized polynomial identity, J. Algebra, 12, 576–584, 1969.
  • Rowen, L. H. Polynomial identities in Ring Theory (Academic Press, New York, 1980).
  • Wang, Y. Generalized derivations with power central values on multilinear polynomials, Algebra Colloquium 13 (3), 405–410, 2006.
There are 16 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Nurcan Argaç This is me

Vincenzo De Filippis This is me

Publication Date June 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 6

Cite

APA Argaç, N., & Filippis, V. D. (2012). A Note on Certain Central Differential Identities with Generalized Derivations ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, 41(6), 847-852.
AMA Argaç N, Filippis VD. A Note on Certain Central Differential Identities with Generalized Derivations ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. June 2012;41(6):847-852.
Chicago Argaç, Nurcan, and Vincenzo De Filippis. “A Note on Certain Central Differential Identities With Generalized Derivations ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 41, no. 6 (June 2012): 847-52.
EndNote Argaç N, Filippis VD (June 1, 2012) A Note on Certain Central Differential Identities with Generalized Derivations ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics 41 6 847–852.
IEEE N. Argaç and V. D. Filippis, “A Note on Certain Central Differential Identities with Generalized Derivations ABSTRACT | FULL TEXT”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 6, pp. 847–852, 2012.
ISNAD Argaç, Nurcan - Filippis, Vincenzo De. “A Note on Certain Central Differential Identities With Generalized Derivations ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 41/6 (June 2012), 847-852.
JAMA Argaç N, Filippis VD. A Note on Certain Central Differential Identities with Generalized Derivations ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2012;41:847–852.
MLA Argaç, Nurcan and Vincenzo De Filippis. “A Note on Certain Central Differential Identities With Generalized Derivations ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 6, 2012, pp. 847-52.
Vancouver Argaç N, Filippis VD. A Note on Certain Central Differential Identities with Generalized Derivations ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2012;41(6):847-52.