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Research Article Open Access

Nearly Partial Derivations on Banach Ternary Algebras

M. Eshaghi, M. B. Savadkouhi, M. Bidkham, C. Park and J. R. Lee

Abstract

Problem statement: In this study, we introduce the concept of a partial ternary derivation from A1 ×···× An into B, where A1, A2···, An and B are ternary algebras. Conclusion/Recommendations: We prove the generalized Hyers-Ulam stability of partial ternary derivations in Banach ternary algebras.

Journal of Computer Science
Volume 6 No. 4, 2010, 454-461

DOI: https://doi.org/10.3844/jcssp.2010.454.461

Submitted On: 29 August 2010 Published On: 31 December 2010

How to Cite: Eshaghi, M., Savadkouhi, M. B., Bidkham, M., Park, C. & Lee, J. R. (2010). Nearly Partial Derivations on Banach Ternary Algebras. Journal of Computer Science, 6(4), 454-461. https://doi.org/10.3844/jcssp.2010.454.461

Open AccessCopyright: © 2010 M. Eshaghi, M. B. Savadkouhi, M. Bidkham, C. Park and J. R. Lee. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Banach ternary algebra
  • ternary derivation
  • generalized Hyers-Ulam stability
  • natural generalization
  • scalar field
  • stability of homomorphisms
  • stability of derivations
  • approximate derivations