On right chain ordered semigroups

Thawhat Changphas, Panuwat Luangchaisri, Ryszard Mazurek

Type: Article

Publication Date: 2017-09-07

Citations: 6

DOI: https://doi.org/10.1007/s00233-017-9896-z

Abstract

A right chain ordered semigroup is an ordered semigroup whose right ideals form a chain. In this paper we study the ideal theory of right chain ordered semigroups in terms of prime ideals, completely prime ideals and prime segments, extending to these semigroups results on right chain semigroups proved in Ferrero et al. (J Algebra 292:574–584, 2005).

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Semigroup Forum - View - PDF

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Works Cited by This (9)

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+	A classification of prime segments in simple artinian rings	2000	H. H. Brungs Hidetoshi Marubayashi E. Osmanagic
+	Cones of certain isolated left orderings and chain domains	2014	Nazer H. Halimi Tetsuya Ito
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+	Chain rings and prime ideals	1976	H. H. Brungs G. T�rner
+	Ideal Theory of Right Cones and Associated Rings	1998	Hans-Heinrich Brungs Günter Törner
+ PDF Chat	Prime Segments of Skew Fields	1995	H. H. Brungs Martin Schröder
+	Prime segments for cones and rings	2003	H. Brungs H. Marubayashi E. Osmanagic