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.
@article{bwmeta1.element.doi-10_1515_math-2016-0070,
author = {Xingliang Liang and Xinyang Feng and Yanfeng Luo},
title = {On homological classification of pomonoids by GP-po-flatness ofS-posets},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {767-782},
zbl = {06645719},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0070}
}
Xingliang Liang; Xinyang Feng; Yanfeng Luo. On homological classification of pomonoids by GP-po-flatness ofS-posets. Open Mathematics, Tome 14 (2016) pp. 767-782. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0070/