Finitely generated free orthomodular lattices. III

Citation
M. Haviar et P. Konopka, Finitely generated free orthomodular lattices. III, INT J THEOR, 39(3), 2000, pp. 727-735
Citations number
8
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
00207748 → ACNP
Volume
39
Issue
3
Year of publication
2000
Pages
727 - 735
Database
ISI
SICI code
0020-7748(200003)39:3<727:FGFOLI>2.0.ZU;2-Y
Abstract
The finitely generated free algebras F-V(Lk)(n) (k greater than or equal to 2, n greater than or equal to 3) in the varieties V((L)k) of orthomodular lattices generated by the ortholattices L-k which are horizontal sums of on e block 2(3) and k-1 blocks 2(2) are described as abstract algebras. This i s a continuation of earlier work and indicates the complexity one must expe ct when describing the finitely generated free algebras in finitely generat ed varieties of orthomodular lattices generated by ortholattices containing Boolean blocks larger than 2(2).