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Prime and semiprime lattice ordered lie algebras

✍ Scribed by J. V. Kochetova


Publisher
Springer US
Year
2009
Tongue
English
Weight
112 KB
Volume
164
Category
Article
ISSN
1573-8795

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Finite homogeneous and lattice ordered e
✍ Gejza Jenča πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 250 KB

We prove that for every ΓΏnite homogeneous e ect algebra E there exists a ΓΏnite orthoalgebra O(E) and a surjective full morphism E : O(E) β†’ E. If E is lattice ordered, then O(E) is an orthomodular lattice. Moreover, E preserves blocks in both directions: the (pre)image of a block is always a block.