-Structures Applied to Closed Ideals in BCH-Algebras

Young Bae Jun, Mehmet Ali Öztürk and Eun Hwan Roh

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-9

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:943565

DOI: 10.1155/2010/943565

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