Finite-dimensional lattice-ordered algebras with \(d\)-elements (Q2386035)

The author first shows that under certain conditions an \(l\)-unital finite-dimensional Archimedean \(l\)-algebra is isomorphic to a group \(l\)-algebra over a finite cyclic group with the coefficients from a matrix \(l\)-algebra. Then he proves that a regular unital finite-dimensional Archimedean real \(l\)-algebra which is either commutative or \(l\)-reduced is isomorphic to a finite direct sum of real group \(l\)-algebras over some finite groups. The paper is well written.