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On the structure of orthomodular lattices satisfying loop lemma

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Abstract

Every orthomodular lattice satisfying the loop lemma isthe direct product of a Boolean algebra and an irreduciblepath-connected orthomodular lattice.

참고문헌 (6)

  1. "Block-finite Orthomodular Lattices"
  2. "G. Bruns and R. Greechie \paper Blocks andCommutators in Orthomodular Lattices \jour Algebra Universalis\vol 27 \yr 1990 \pages 1--9"
  3. "R. Greechie \paper On the Structure ofOrthomodular Lattices Satisfying the Chain Condition \jour J. ofCombinatorial Theory \vol 4 \yr 1968 \pages 210--218"
  4. "Orthomodular Lattices Admitting NoStates \jour J. of Combinatorial Theory \vol 10 \issue 2 \yr 1971\pages 119--132"
  5. "A Note on Relatively Path-connectedOrthomodular Lattices \jour Bull. Korean Math. Soc. \vol 31\issue 1 \yr 1994 \pages 61--72"
  6. "M. Roddy \paper An Extension of Greechie'sAtomistic Loop Lemma \jour McMaster University Master Thesis" (1981)

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