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Ideals and quotients in lattice ordered effect algebras

✍ Scribed by G. Jenča; S. Pulmannová

Publisher
Springer
Year
2001
Tongue
English
Weight
95 KB
Volume
5
Category
Article
ISSN
1432-7643

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📜 SIMILAR VOLUMES

Finite homogeneous and lattice ordered e
Finite homogeneous and lattice ordered effect algebras
✍ Gejza Jenča 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 250 KB

We prove that for every ÿnite homogeneous e ect algebra E there exists a ÿnite orthoalgebra O(E) and a surjective full morphism E : O(E) → 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.