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Zbl 1186.06011
Jun, Young Bae; Öztürk, Mehmet Ali; Roh, Eun Hwan
$\cal N$-structures applied to closed ideals in BCH-algebras. (English)
[J] Int. J. Math. Math. Sci. 2010, Article ID 943565, 9 p. (2010). ISSN 0161-1712; ISSN 1687-0425/e

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

MSC 2000:: *06F35 BCK-algebras, etc.

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Zentralblatt MATH Berlin [Germany]