On homological classification of pomonoids by GP-po-flatness of S-posets
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-01-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2016-0070 |
| _version_ | 1818597843784433664 |
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| author | Liang Xingliang Feng Xinyang Luo Yanfeng |
| author_facet | Liang Xingliang Feng Xinyang Luo Yanfeng |
| author_sort | Liang Xingliang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-16T11:54:15Z |
| format | Article |
| id | doaj.art-cea91746c1ac4f74b1bef12baf18ca4d |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-16T11:54:15Z |
| publishDate | 2016-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-cea91746c1ac4f74b1bef12baf18ca4d2022-12-21T22:32:37ZengDe GruyterOpen Mathematics2391-54552016-01-0114176778210.1515/math-2016-0070math-2016-0070On homological classification of pomonoids by GP-po-flatness of S-posetsLiang Xingliang0Feng Xinyang1Luo Yanfeng2Department of Mathematics, Shaanxi University of Science and Technology, Shaanxi 710021, ChinaSchool of Mathematics and Statistics, Lanzhou University, Gansu 730000, ChinaSchool of Mathematics and Statistics, Lanzhou University, Gansu 730000, ChinaIn 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.https://doi.org/10.1515/math-2016-0070s-posetprincipal weak po-flatnessgp-po-flatnessdirect product06f0520m50 |
| spellingShingle | Liang Xingliang Feng Xinyang Luo Yanfeng On homological classification of pomonoids by GP-po-flatness of S-posets Open Mathematics s-poset principal weak po-flatness gp-po-flatness direct product 06f05 20m50 |
| title | On homological classification of pomonoids by GP-po-flatness of S-posets |
| title_full | On homological classification of pomonoids by GP-po-flatness of S-posets |
| title_fullStr | On homological classification of pomonoids by GP-po-flatness of S-posets |
| title_full_unstemmed | On homological classification of pomonoids by GP-po-flatness of S-posets |
| title_short | On homological classification of pomonoids by GP-po-flatness of S-posets |
| title_sort | on homological classification of pomonoids by gp po flatness of s posets |
| topic | s-poset principal weak po-flatness gp-po-flatness direct product 06f05 20m50 |
| url | https://doi.org/10.1515/math-2016-0070 |
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