Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
We call a Krasner right S-hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved. This paper c...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/5591710 |
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| author | Yıldız Aydın Burcu Nişancı Türkmen |
| author_facet | Yıldız Aydın Burcu Nişancı Türkmen |
| author_sort | Yıldız Aydın |
| collection | DOAJ |
| description | We call a Krasner right S-hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved. This paper consists of concentrating over the radical, as well as their connections with (semi)regularity of hypermodules. Finally, the relationship between f-supplement submodule and semiregularity is given. |
| format | Article |
| id | doaj-art-a167b7c8cd4b44a9a71c4cf2d3f1a219 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a167b7c8cd4b44a9a71c4cf2d3f1a2192025-08-20T03:38:34ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/5591710Some Algebraic Classification of Semiregular Hypermodules in Connection to the RadicalYıldız Aydın0Burcu Nişancı Türkmen1Department of Management and Information SystemsDepartment of MathematicsWe call a Krasner right S-hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved. This paper consists of concentrating over the radical, as well as their connections with (semi)regularity of hypermodules. Finally, the relationship between f-supplement submodule and semiregularity is given.http://dx.doi.org/10.1155/2024/5591710 |
| spellingShingle | Yıldız Aydın Burcu Nişancı Türkmen Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical Journal of Mathematics |
| title | Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical |
| title_full | Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical |
| title_fullStr | Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical |
| title_full_unstemmed | Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical |
| title_short | Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical |
| title_sort | some algebraic classification of semiregular hypermodules in connection to the radical |
| url | http://dx.doi.org/10.1155/2024/5591710 |
| work_keys_str_mv | AT yıldızaydın somealgebraicclassificationofsemiregularhypermodulesinconnectiontotheradical AT burcunisancıturkmen somealgebraicclassificationofsemiregularhypermodulesinconnectiontotheradical |