Ma, Jingjing2020-09-032020-09-032015J. Ma, Matrix l-algebras over l-fields, Cogent Mathematics 2 (2015) (published online first, 6/15/2015).https://hdl.handle.net/10657.1/2447It 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.d-element, lattice-ordered algebra, lattice-ordered field, matrix algebra, positive cycle AMS Subject Classification: 06F25Article