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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Blomer, Valentin / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Echterhoff, Siegfried / Frahm, Jan / Gordina, Maria / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna


IMPACT FACTOR 2018: 0.867

CiteScore 2018: 0.71

SCImago Journal Rank (SJR) 2018: 0.898
Source Normalized Impact per Paper (SNIP) 2018: 0.964

Mathematical Citation Quotient (MCQ) 2018: 0.71

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Volume 27, Issue 5

Issues

Cones of certain isolated left orderings and chain domains

Nazer H. Halimi / Tetsuya Ito
Published Online: 2014-01-10 | DOI: https://doi.org/10.1515/forum-2013-0036

Abstract

We observe interesting interactions among isolated orderings of groups, exceptional prime segments of cones, and exceptional prime ideals of chain domains. We study the structure of certain isolated left orderings and their cones, and use this to construct a new family of chain domains with prime but not completely prime ideals.

Keywords: Exceptional prime ideal; chain domain; isolated ordering; Mal'cev's problem

MSC: 06F15; 16W60; 16K40; 20F29

About the article

Received: 2013-03-07

Revised: 2013-11-14

Published Online: 2014-01-10

Published in Print: 2015-09-01


Funding Source: JSPS

Award identifier / Grant number: Postdoctoral Fellowships for Research Abroad


Citation Information: Forum Mathematicum, Volume 27, Issue 5, Pages 3027–3051, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2013-0036.

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[1]
Thawhat Changphas, Panuwat Luangchaisri, and Ryszard Mazurek
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