Lattice-ordered rings and function rings
Melvin Henriksen, John R. Isbell · Pacific Journal of Mathematics · 1962
Introduction: This paper treats the structure of those lattice-ordered rings which are subdirect sums of totally ordered rings—the f-rings of Birkhoff and Pierce [4]. Broadly, it splits into two parts, concerned respectively with identical equations and with ideal structure; but there is an important overlap at the beginning.