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

• Autorzy: Xingliang Liang , Xinyang Feng , Yanfeng Luo
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

S-poset; Principal weak po-flatness; GP-po-flatness; Direct product

Kategorie tematyczne

• 20M50: Connections of semigroups with homological algebra and category theory
• 06F05: Ordered semigroups and monoids

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 767-782

Daty

wydano

2016-01-01

otrzymano

2015-11-13

zaakceptowano

2016-05-10

online

2016-10-24

Twórcy

autor

Xingliang Liang

• Department of Mathematics, Shaanxi University of Science and Technology, Shaanxi 710021,
• School of Mathematics and Statistics, Lanzhou University, Gansu 730000,

autor

Xinyang Feng

• School of Mathematics and Statistics, Lanzhou University, Gansu 730000,

autor

Yanfeng Luo

• School of Mathematics and Statistics, Lanzhou University, Gansu 730000,

Identyfikatory

DOI

10.1515/math-2016-0070