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

Xingliang Liang, Xinyang Feng, and Yanfeng Luo. "On homological classification of pomonoids by GP-po-flatness ofS-posets." Open Mathematics 14.1 (2016): 767-782. <http://eudml.org/doc/287053>.

@article{XingliangLiang2016,
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.},
author = {Xingliang Liang, Xinyang Feng, Yanfeng Luo},
journal = {Open Mathematics},
keywords = {S-poset; Principal weak po-flatness; GP-po-flatness; Direct product; -poset; principal weak po-flatness; direct product},
language = {eng},
number = {1},
pages = {767-782},
title = {On homological classification of pomonoids by GP-po-flatness ofS-posets},
url = {http://eudml.org/doc/287053},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Xingliang Liang
AU - Xinyang Feng
AU - Yanfeng Luo
TI - On homological classification of pomonoids by GP-po-flatness ofS-posets
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 767
EP - 782
AB - 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.
LA - eng
KW - S-poset; Principal weak po-flatness; GP-po-flatness; Direct product; -poset; principal weak po-flatness; direct product
UR - http://eudml.org/doc/287053
ER -