Finitely Generated Free Orthomodular Lattices. III |
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| Authors: | M Haviar P Konôpka |
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| Institution: | (1) School of Mathematics, La Trobe University, Bundoora, Victoria, 3083, Australia;(2) Department of Mathematics, PF, M. Bel University, 974 01 Banská, Bystrica, Slovakia;(3) Department of Mathematics, FPV, M. Bel University, 974 01 Banská, Bystrica, Slovakia |
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| Abstract: | The finitely generated free algebras F
V(Lk)(n) (k  2, n 3) in the varieties V(L
k
)of orthomodular lattices generated by the ortholattices L
k
which are horizontalsums of one block 23 and k – 1 blocks 22 are described as abstract algebras. Thisis a continuation of earlier work and indicates the complexity one must expectwhen describing the finitely generated free algebras in finitely generated varietiesof orthomodular lattices generated by ortholattices containing Boolean blockslarger than 22. |
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