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Finite homogeneous and lattice ordered effect algebras

✍ Scribed by Gejza Jenča

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
250 KB
Volume
272
Category
Article
ISSN
0012-365X

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✦ Synopsis

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.

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