Matrix l-Algebras over l-fields
Date
2015
Authors
Ma, Jingjing
Journal Title
Journal ISSN
Volume Title
Publisher
Cogent Mathematics
Abstract
It is shown that if a matrix ℓ-algebra Mn(K) over certain ℓ-fields K contains a positive n-cycle e such that I+e+⋯+en−1 is a d-element on K then it is isomorphic to the ℓ-algebra Mn(K) over K with the entrywise lattice order.
Description
Keywords
d-element, lattice-ordered algebra, lattice-ordered field, matrix algebra, positive cycle AMS Subject Classification: 06F25
Citation
J. Ma, Matrix l-algebras over l-fields, Cogent Mathematics 2 (2015) (published online first, 6/15/2015).