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Exponents of lattice-ordered algebras

✍ Scribed by Brian A. Davey; Ivan Rival

Book ID: 112760272
Publisher: Springer
Year: 1982
Tongue: English
Weight: 591 KB
Volume: 14
Category: Article
ISSN: 0002-5240
DOI: 10.1007/bf02483911

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Let R be a unital lattice-ordered algebra over a totally ordered field F and F n be the n × n n ≥ 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