Investigations of $S$-posets by 1-pureproperties

Chen Xia; Zhang Xia

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Investigations of $S$-posets by 1-pureproperties

Chen Xia 1, Zhang Xia 2

1.school of mathematical science, South China Normal University, GuangZhou 510631

2.school of mathematical science, South China Normal University, GuangZhou 510631;Department of Mathematics, Southern Illinois University, Carbondale 62901

*Correspondence author

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Funding: SEM. （No.20124407120004）

Opened online:27 April 2015

Accepted by: none

Citation: Chen Xia, Zhang Xia.Investigations of $S$-posets by 1-pureproperties[OL]. [27 April 2015] http://en.paper.edu.cn/en_releasepaper/content/4639342

In this work, we study properties of 1-pure $S$-posetsand absolutely 1-pure $S$-posets over a pomonoid, respectively. As aresult, a characterization of an $S$-poset to be 1-pure is given andhomological classifications of a pomonoid $S$ by absolutely 1-pureproperties of $S$-posets are obtained.

Keywords:$S$-poset, 1-pure, absolutely 1-pure

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