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Lattice Ordered Polynomial Algebras

โœ Scribed by R. Padmanabhan; P. Penner

Book ID
110231522
Publisher
Springer Netherlands
Year
1998
Tongue
English
Weight
86 KB
Volume
15
Category
Article
ISSN
0167-8094

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Let R be a unital lattice-ordered algebra over a totally ordered field F and F n be the n ร— n n โ‰ฅ 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