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

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Liang X., Feng X., Luo Y.

Open Mathematics

2016

tom 14

nr 1

767-782

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.

Ograniczanie wyników

1 Open Mathematics

1 Feng X.

1 Liang X.

1 Luo Y.

1 2016

Wyniki wyszukiwania

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