Partially ordered rings II

Yoshimi Kitamura; Yoshio Tanaka

doi:10.21099/tkbjm/1461270055

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Home > Journals > Tsukuba J. Math. > Volume 39 > Issue 2 > Article

March 2016 Partially ordered rings II

Yoshimi Kitamura, Yoshio Tanaka

Tsukuba J. Math. 39(2): 181-198 (March 2016). DOI: 10.21099/tkbjm/1461270055

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Abstract

This paper is a continuation of [6]. We study partially ordered rings in terms of non-negative semi-cones and convex ideals, considering order-preserving homomorphisms, residue class rings, and certain product rings, etc.

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Yoshimi Kitamura. Yoshio Tanaka. "Partially ordered rings II." Tsukuba J. Math. 39 (2) 181 - 198, March 2016. https://doi.org/10.21099/tkbjm/1461270055

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Published: March 2016

First available in Project Euclid: 21 April 2016

zbMATH: 1337.06013

MathSciNet: MR3490483

Digital Object Identifier: 10.21099/tkbjm/1461270055

Subjects:

Primary: 06A06 , 06F25

Keywords: convex ideal , idempotent , non-negative semi-cone , order-preserving homomorphism , partially ordered ring , product of rings , residue class ring

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