East Asian mathematical journal

  • 제19권1호
  • /
  • Pages.41-48
  • /
  • 2003
  • /
  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
권호 표지

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)
  • 발행 : 2003.06.30
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TYPE VIA $P\'{O}LYA-SZEG\"{O}$ AND SHISHA-MOND RESULTS " href="/article/JAKO200310736849401.page?lang=ko"> ⟨ 이전 논문 다음 논문 ⟩

초록

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.

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