East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A NOTE ON DEFINING IDENTITIES OF DISTRIBUTIVE LATTICES

  • Kim, Woo-Hyun (Department of Mathematics Pusan National University) ;
  • Cho, Jung-Rae (Department of Mathematics Pusan National University) ;
  • Dudek, Jozef (Mathematical Institute University of Wroclaw, Poland)
  • Published : 2003.06.30
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Abstract

There are many conditions or identities for a lattice to be distributive. In this paper, we study some identities on algebras of type (2,2) and find another set of identities defining distributive lattices. We also study certain identities which define algebras of type (2,2) whose subalgebras generated by two elements are all distributive lattices with at most 4 elements.

Keywords