[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.2.197

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)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.2, 2004 , pp. 197-204 More about this Journal

Abstract

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

Keywords

orthomodular lattice; loop lemma; path-connected; Boo-lean algebra;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	/ [ G.Kalmbach ] / Orthomodular Lattices
2	Blocks and Commutators in Orthomodular Lattices / [ G.Bruns;R.Greechie ] / Block and Commutators in Orthomodular Lattices DOI
3	/ [ M.Roddy ] / An Extension of Greechie's Atomistic Loop Lemma,McMaster University Master Thesis
4	Block-finite Orthomodular Lattices / [ G.Bruns ] / Can. J. Math. DOI
5	A Note on Relatively Path-connected Orthomodular Lattices / [] / Bull. Korean Math. Soc. 과학기술학회마을
6	On the Structure of Orthomodular Lattices Satisfying the Chain Condition / [ R.Greechie ] / J. of Combinatorial Theory DOI
7	/ [ E.Park ] / Path-connected Orthomodular Lattices,Kansas State University,Ph.D.Thesis
8	Orthomodular Lattices Admitting No States / [] / J. of Combinatorial Theory DOI
9	Commutator-finite Orthomodular Lattices / [ R.Greechie;L.Herman ] / Order DOI