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Finitely Generated Free Orthomodular Lattices. III

✍ Scribed by M. Haviar; P. Konôpka


Book ID
111530212
Publisher
Springer
Year
2000
Tongue
English
Weight
64 KB
Volume
39
Category
Article
ISSN
0020-7748

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Commutator-finite orthomodular lattices
✍ Richard Greechie; Louis Herman 📂 Article 📅 1985 🏛 Springer Netherlands 🌐 English ⚖ 401 KB

The class 1.¢ of orthomodular lattices which have only finitely many commutators is investigated. The following theorems are proved: ~¢ contains the block-finite orthomodular lattices. Every irreducible element of ~" is simple. Every element of 4¢ is a direct product of a Boolean algebra and finitel