PMV-Algebras of Matrices
Piotr J. Wojciechowski
A concrete structure is established of any product MV-algebra (PMV-algebra) that naturally embeds in a real algebra of matrices. In particular, the PMV-algebras of concern are, up to an isomorphism, left multiples of the intervals between the zero matrix and a certain positive matrix by a nonsingular nonnegative matrix.
Keywords: PMV-algebra, MV-module, lattice-ordered algebra of matrices, strong order unit, proper cone.