Document Type

Article

Department

Mathematics (HMC)

Publication Date

1962

Abstract

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.

Comments

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: http://ccdl.libraries.claremont.edu/u?/irw,487.

Publisher pdf, posted with permission.

This article is also available at http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.pjm/1103036477.

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© 1962 Mathematical Sciences Publishers

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