On some radicals and proper classes associated to simple modules
For a unitary right module $M$, there are two known partitions of simple modules in the category $\sigma[M]$: the first one divides them into $M$-injective modules and $M$-small modules, while the second one divides them into $M$-projective modules and $M$-singular modules. We study inclusions betwe...
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Yildiz Technical University
2017-01-01
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| Series: | Journal of Algebra Combinatorics Discrete Structures and Applications |
| Online Access: | http://jacodesmath.com/index.php/jacodesmath/article/view/98 |
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doaj-d78d53df440b4cce97c0f05f66a4e8672020-11-24T22:16:17ZengYildiz Technical UniversityJournal of Algebra Combinatorics Discrete Structures and Applications2148-838X2017-01-010076On some radicals and proper classes associated to simple modulesSeptimiu CriveiDerya Keskin TütüncüFor a unitary right module $M$, there are two known partitions of simple modules in the category $\sigma[M]$: the first one divides them into $M$-injective modules and $M$-small modules, while the second one divides them into $M$-projective modules and $M$-singular modules. We study inclusions between the first two and the last two classes of simple modules in terms of some associated radicals and proper classes.http://jacodesmath.com/index.php/jacodesmath/article/view/98 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Septimiu Crivei Derya Keskin Tütüncü |
| spellingShingle |
Septimiu Crivei Derya Keskin Tütüncü On some radicals and proper classes associated to simple modules Journal of Algebra Combinatorics Discrete Structures and Applications |
| author_facet |
Septimiu Crivei Derya Keskin Tütüncü |
| author_sort |
Septimiu Crivei |
| title |
On some radicals and proper classes associated to simple modules |
| title_short |
On some radicals and proper classes associated to simple modules |
| title_full |
On some radicals and proper classes associated to simple modules |
| title_fullStr |
On some radicals and proper classes associated to simple modules |
| title_full_unstemmed |
On some radicals and proper classes associated to simple modules |
| title_sort |
on some radicals and proper classes associated to simple modules |
| publisher |
Yildiz Technical University |
| series |
Journal of Algebra Combinatorics Discrete Structures and Applications |
| issn |
2148-838X |
| publishDate |
2017-01-01 |
| description |
For a unitary right module $M$, there are two known partitions of simple modules in the category $\sigma[M]$: the first one divides them into $M$-injective modules and $M$-small modules, while the second one divides them into $M$-projective modules and $M$-singular modules. We study inclusions between the first two and the last two classes of simple modules in terms of some associated radicals and proper classes. |
| url |
http://jacodesmath.com/index.php/jacodesmath/article/view/98 |
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AT septimiucrivei onsomeradicalsandproperclassesassociatedtosimplemodules AT deryakeskintutuncu onsomeradicalsandproperclassesassociatedtosimplemodules |
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