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Lattice ordered effect algebras

✍ Scribed by ScottR. Sykes

Publisher
Springer
Year
2003
Tongue
English
Weight
139 KB
Volume
49
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES

Finite homogeneous and lattice ordered e
Finite homogeneous and lattice ordered effect algebras
✍ 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.

Lattice-Ordered Matrix Algebras with the
Lattice-Ordered Matrix Algebras with the Usual Lattice Order
✍ Jingjing Ma πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 117 KB

Let R be a unital lattice-ordered algebra over a totally ordered field F and F n be the n Γ— n n β‰₯ 2 matrix algebra over F. It is shown that under certain conditions R contains a lattice-ordered subalgebra which is isomorphic to (F n F + n . In particular, let (F n P) be a lattice-ordered algebra ove