• Title/Summary/Keyword: nearlattice

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Commutative Ideals in BE-algebras

  • Rezaei, Akbar;Saeid, Arsham Borumand
    • Kyungpook Mathematical Journal
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    • v.52 no.4
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    • pp.483-494
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    • 2012
  • In this paper we study properties of commutative BE-algebras and we give the construction of quotient (X/I; *, I) of a commutative BE-algebra X via an obstinate ideal I of X. We construct upper semilattice and prove that is a nearlattice. Finally we define and study commutative ideals in BE-algebras.