Partially ordered rings

Yoshimi Kitamura; Yoshio Tanaka

doi:10.21099/tkbjm/1407938671

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Home > Journals > Tsukuba J. Math. > Volume 38 > Issue 1 > Article

July 2014 Partially ordered rings

Yoshimi Kitamura, Yoshio Tanaka

Tsukuba J. Math. 38(1): 39-58 (July 2014). DOI: 10.21099/tkbjm/1407938671

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Abstract

We shall consider partially ordered rings as a generalization of ordered rings. We give properties or related matters of partially ordered rings, using convex ideals or non-negative semicones. Also, we consider order-preserving isomorphisms between residue class rings which are partially ordered rings.