DOI QR코드

DOI QR Code

ON THE STRUCTURE OF ORTHOMODULAR LATTICES SATISFYING LOOP LEMMA

  • Park, Eun-Soon (Department of Mathematics Soongsil University) ;
  • Kim, Mi-Mi (Department of Mathematics Soongsil University)
  • Published : 2004.04.01

Abstract

Every orthomodular lattice satisfying the loop lemma is the direct product of a Boolean algebra and an irreducible path-connected orthomodular lattice.

Keywords

References

  1. Can. J. Math. v.31 no.5 Block-finite Orthomodular Lattices G.Bruns https://doi.org/10.4153/CJM-1979-090-6
  2. Block and Commutators in Orthomodular Lattices v.27 Blocks and Commutators in Orthomodular Lattices G.Bruns;R.Greechie https://doi.org/10.1007/BF01190249
  3. J. of Combinatorial Theory v.4 On the Structure of Orthomodular Lattices Satisfying the Chain Condition R.Greechie https://doi.org/10.1016/S0021-9800(68)80002-X
  4. J. of Combinatorial Theory v.10 no.2 Orthomodular Lattices Admitting No States https://doi.org/10.1016/0097-3165(71)90015-X
  5. Order v.1 Commutator-finite Orthomodular Lattices R.Greechie;L.Herman https://doi.org/10.1007/BF00383604
  6. Orthomodular Lattices G.Kalmbach
  7. Path-connected Orthomodular Lattices,Kansas State University,Ph.D.Thesis E.Park
  8. Bull. Korean Math. Soc. v.31 no.1 A Note on Relatively Path-connected Orthomodular Lattices
  9. An Extension of Greechie's Atomistic Loop Lemma,McMaster University Master Thesis M.Roddy