Modules which are self-p-injective relative to projection invariant submodules
In this article, we focus on modules M such that every homomorphism from a projection invariant submodule of M to M can be lifted to M. Although such modules share some of the properties of PI -extending (i.e., every projection invariant submodule is essential in a direct summand) modules, it is sho...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2017-01-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/auom-2017-0010 |
| _version_ | 1818307375303491584 |
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| author | Kara Yeliz Tercan Adnan |
| author_facet | Kara Yeliz Tercan Adnan |
| author_sort | Kara Yeliz |
| collection | DOAJ |
| description | In this article, we focus on modules M such that every homomorphism from a projection invariant submodule of M to M can be lifted to M. Although such modules share some of the properties of PI -extending (i.e., every projection invariant submodule is essential in a direct summand) modules, it is shown that they form a substantially bigger class of modules. |
| first_indexed | 2024-12-13T06:57:23Z |
| format | Article |
| id | doaj.art-e4bc30a9288241aa84e48bad8388c102 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T06:57:23Z |
| publishDate | 2017-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-e4bc30a9288241aa84e48bad8388c1022022-12-21T23:56:01ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352017-01-0125111712910.1515/auom-2017-0010Modules which are self-p-injective relative to projection invariant submodulesKara Yeliz0Tercan Adnan1Hacettepe University, Department of Mathematics, Beytepe Campus, Ankara 06532, TurkeyHacettepe University, Department of Mathematics, Beytepe Campus, Ankara 06532, TurkeyIn this article, we focus on modules M such that every homomorphism from a projection invariant submodule of M to M can be lifted to M. Although such modules share some of the properties of PI -extending (i.e., every projection invariant submodule is essential in a direct summand) modules, it is shown that they form a substantially bigger class of modules.https://doi.org/10.1515/auom-2017-0010injective moduleprojection invariant submodulepi-extending moduleextending moduleprimary 16d10secondary: 16d4016d50 |
| spellingShingle | Kara Yeliz Tercan Adnan Modules which are self-p-injective relative to projection invariant submodules Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica injective module projection invariant submodule pi-extending module extending module primary 16d10 secondary: 16d40 16d50 |
| title | Modules which are self-p-injective relative to projection invariant submodules |
| title_full | Modules which are self-p-injective relative to projection invariant submodules |
| title_fullStr | Modules which are self-p-injective relative to projection invariant submodules |
| title_full_unstemmed | Modules which are self-p-injective relative to projection invariant submodules |
| title_short | Modules which are self-p-injective relative to projection invariant submodules |
| title_sort | modules which are self p injective relative to projection invariant submodules |
| topic | injective module projection invariant submodule pi-extending module extending module primary 16d10 secondary: 16d40 16d50 |
| url | https://doi.org/10.1515/auom-2017-0010 |
| work_keys_str_mv | AT karayeliz moduleswhichareselfpinjectiverelativetoprojectioninvariantsubmodules AT tercanadnan moduleswhichareselfpinjectiverelativetoprojectioninvariantsubmodules |