scholarly journals On the homological classification of pomonoids: atomic posemilattices

2013 ◽  
Vol 17 (1) ◽  
pp. 103 ◽  
Author(s):  
Mati Kilp
Keyword(s):  
Homological Classification

On the homological classification of pomonoids by their Rees factor S-posets

2009 ◽  
Vol 79 (2) ◽  
pp. 385-399 ◽  
Author(s):  
Husheng Qiao ◽  
Zhongkui Liu
Keyword(s):  
Homological Classification ◽  
Rees Factor

scholarly journals On homological classification of pomonoids by GP-po-flatness of S-posets

2016 ◽  
Vol 14 (1) ◽  
pp. 767-782
Author(s):  
Xingliang Liang ◽  
Xinyang Feng ◽  
Yanfeng Luo
Keyword(s):  
Direct Products ◽  
Classification Problems ◽  
Flatness Property ◽  
Homological Classification ◽  
Torsion Freeness

Abstract In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness. Furthermore, we investigate the homological classification problems of pomonoids by using this new property. Finally, we consider direct products of GP-po-flat S-posets. As an application, characterizations of pomonoids over which direct products of nonempty families of principally weakly po-flat S-posets are principally weakly po-flat are obtained, and some results of Khosravi, R. in a certain extent are generalized.

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