-Structures Applied to Closed Ideals in BCH-Algebras

نویسندگان

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

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

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2010  شماره 

صفحات  -

تاریخ انتشار 2010