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December 2017 Finitely generated semi-cones in product rings
Yoshimi Kitamura, Yoshio Tanaka
Tsukuba J. Math. 41(2): 235-249 (December 2017). DOI: 10.21099/tkbjm/1521597624

Abstract

Semi-cones of rings determine the partial orders in the rings. We consider semi-cones in the direct product rings and the product extension rings, inducing finitely generated semi-cones. In particular, we give characterizations for semi-cones of the direct product rings and the basic product extension rings of the ring of integers.

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Yoshimi Kitamura. Yoshio Tanaka. "Finitely generated semi-cones in product rings." Tsukuba J. Math. 41 (2) 235 - 249, December 2017. https://doi.org/10.21099/tkbjm/1521597624

Information

Received: 3 March 2017; Revised: 13 July 2017; Published: December 2017
First available in Project Euclid: 21 March 2018

zbMATH: 06857023
MathSciNet: MR3778314
Digital Object Identifier: 10.21099/tkbjm/1521597624

Subjects:
Primary: 06A06 , 06F25

Keywords: cone , direct product ring , finitely generated semi-cone , partially ordered ring , product extension ring , semi-cone

Rights: Copyright © 2017 University of Tsukuba, Institute of Mathematics

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Vol.41 • No. 2 • December 2017
Department of Mathematics, University of Tsukuba
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