Closed $l$-ideals in a class of lattice-ordered algebras
Donald Plank · Illinois Journal of Mathematics · 1971
examples of -algebras are the trivial C-algebra {0} and the -algebra I of real numbers, each with the obvious operations.Another example is the -algebra C(X) of all continuous real-valued functions on X under the point- wise operations.An algebra and lattice homomorphism A --. B between the real/-algebras A and B is called an 1-homomorphism; similarly we define 1-monomorphism, 1-epimorphism and 1-isomorphism.