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

Open Mathematics

Liang Xingliang¹  Luo Yanfeng²  Feng Xinyang² 

[1] Department of Mathematics, Shaanxi University of Science and Technology, Shaanxi 710021, China;School of Mathematics and Statistics, Lanzhou University, Gansu 730000, China;

关键词: s-poset;    principal weak po-flatness;    gp-po-flatness;    direct product;    06f05;    20m50;   

DOI  :  10.1515/math-2016-0070

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown