Document Type



Mathematics (HMC)

Publication Date



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.


Received June 17. 1960, and in revised form June 8, 1961. This research was supported in part by the Office of Naval Research, Contract Nonr-1100(12).

Previously linked to as:,487.

Publisher pdf, posted with permission.

This article is also available at

Rights Information

© 1962 Mathematical Sciences Publishers

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.