QTAG-modules isomorphic to their fully invariant submodules
Some algebraic structures are isomorphic to their substructures but it is not always true. Some times they are isomorphic to their substructures with certain properties. Grinshpon et. al. investigated abelian groups which are isomorphic to their subgroups with certain properties.This interesting fac...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-04-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364722000301 |
| _version_ | 1828898083703881728 |
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| author | Fahad Sikander Firdhousi Begam |
| author_facet | Fahad Sikander Firdhousi Begam |
| author_sort | Fahad Sikander |
| collection | DOAJ |
| description | Some algebraic structures are isomorphic to their substructures but it is not always true. Some times they are isomorphic to their substructures with certain properties. Grinshpon et. al. investigated abelian groups which are isomorphic to their subgroups with certain properties.This interesting fact motivates us to investigate QTAG-modules which are isomorphic to their proper submodules with special conditions. Here we study If-modules which are isomorphic to their fully invariant submodules. We define admissible sequence of the Ulm-Kaplansky invariants to define If-module and investigate their properties. |
| first_indexed | 2024-12-13T15:09:22Z |
| format | Article |
| id | doaj.art-5c4e2e4255c047d28ccf60446d7bb53c |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-13T15:09:22Z |
| publishDate | 2022-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-5c4e2e4255c047d28ccf60446d7bb53c2022-12-21T23:40:55ZengElsevierJournal of King Saud University: Science1018-36472022-04-01343101849QTAG-modules isomorphic to their fully invariant submodulesFahad Sikander0Firdhousi Begam1College of Science and Theoretical Studies, Saudi Electronic University (Jeddah Branch), Jeddah 23442, Saudi ArabiaApplied Science Section, University Polytechnic, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, IndiaSome algebraic structures are isomorphic to their substructures but it is not always true. Some times they are isomorphic to their substructures with certain properties. Grinshpon et. al. investigated abelian groups which are isomorphic to their subgroups with certain properties.This interesting fact motivates us to investigate QTAG-modules which are isomorphic to their proper submodules with special conditions. Here we study If-modules which are isomorphic to their fully invariant submodules. We define admissible sequence of the Ulm-Kaplansky invariants to define If-module and investigate their properties.http://www.sciencedirect.com/science/article/pii/S1018364722000301QTAG-modulesIf-modulesAdmissible sequenceFully invariant submoduleSeparable submodule |
| spellingShingle | Fahad Sikander Firdhousi Begam QTAG-modules isomorphic to their fully invariant submodules Journal of King Saud University: Science QTAG-modules If-modules Admissible sequence Fully invariant submodule Separable submodule |
| title | QTAG-modules isomorphic to their fully invariant submodules |
| title_full | QTAG-modules isomorphic to their fully invariant submodules |
| title_fullStr | QTAG-modules isomorphic to their fully invariant submodules |
| title_full_unstemmed | QTAG-modules isomorphic to their fully invariant submodules |
| title_short | QTAG-modules isomorphic to their fully invariant submodules |
| title_sort | qtag modules isomorphic to their fully invariant submodules |
| topic | QTAG-modules If-modules Admissible sequence Fully invariant submodule Separable submodule |
| url | http://www.sciencedirect.com/science/article/pii/S1018364722000301 |
| work_keys_str_mv | AT fahadsikander qtagmodulesisomorphictotheirfullyinvariantsubmodules AT firdhousibegam qtagmodulesisomorphictotheirfullyinvariantsubmodules |