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

100%

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.

Isometry groups of non standard metric products

88%

Oliynyk B.

Open Mathematics

2013

tom 11

nr 2

264-273

We consider isometry groups of a fairly general class of non standard products of metric spaces. We present sufficient conditions under which the isometry group of a non standard product of metric spaces splits as a permutation group into direct or wreath product of isometry groups of some metric spaces.

Ograniczanie wyników

2 Open Mathematics

1 Feng X.

1 Liang X.

1 Luo Y.

1 Oliynyk B.

1 2016

1 2013

Wyniki wyszukiwania

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

Isometry groups of non standard metric products