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-Structures Applied to Closed Ideals in BCH-Algebras

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  • Young Bae Jun
  • Mehmet Ali Öztürk
  • Eun Hwan Roh

Abstract

The notions of -subalgebras and -closed ideals in BCH-algebras are introduced, and the relation between -subalgebras and -closed ideals is considered. Characterizations of -subalgebras and -closed ideals are provided. Using special subsets, -subalgebras and -closed ideals are constructed. A condition for an -subalgebra to be an -closed ideal is discussed. Given an -structure, the greatest -closed ideal which is contained in the -structure is established.

Suggested Citation

  • Young Bae Jun & Mehmet Ali Öztürk & Eun Hwan Roh, 2010. "-Structures Applied to Closed Ideals in BCH-Algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-9, March.
    • Handle: RePEc:hin:jijmms:943565
    DOI: 10.1155/2010/943565
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