Submodules of secondary modules
Let R be a commutative ring with nonzero identity. Our objective is to investigate representable modules and to examine in particular when submodules of such modules are representable. Moreover, we establish a connection between the secondary modules and the pure-injective, the Σ-pure-injective, and...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202107149 |
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| _version_ | 1832554331092549632 |
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| author | Shahabaddin Ebrahimi Atani |
| author_facet | Shahabaddin Ebrahimi Atani |
| author_sort | Shahabaddin Ebrahimi Atani |
| collection | DOAJ |
| description | Let R be a commutative ring with nonzero identity. Our
objective is to investigate representable modules and to examine
in particular when submodules of such modules are representable.
Moreover, we establish a connection between the secondary modules
and the pure-injective, the Σ-pure-injective, and the prime modules. |
| format | Article |
| id | doaj-art-fdc7c4b06a564a0690b0e30cd7d6692b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fdc7c4b06a564a0690b0e30cd7d6692b2025-02-03T05:51:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0131632132710.1155/S0161171202107149Submodules of secondary modulesShahabaddin Ebrahimi Atani0Department of Mathematics, University of Guilan, P.O. Box 1914, Rasht, IranLet R be a commutative ring with nonzero identity. Our objective is to investigate representable modules and to examine in particular when submodules of such modules are representable. Moreover, we establish a connection between the secondary modules and the pure-injective, the Σ-pure-injective, and the prime modules.http://dx.doi.org/10.1155/S0161171202107149 |
| spellingShingle | Shahabaddin Ebrahimi Atani Submodules of secondary modules International Journal of Mathematics and Mathematical Sciences |
| title | Submodules of secondary modules |
| title_full | Submodules of secondary modules |
| title_fullStr | Submodules of secondary modules |
| title_full_unstemmed | Submodules of secondary modules |
| title_short | Submodules of secondary modules |
| title_sort | submodules of secondary modules |
| url | http://dx.doi.org/10.1155/S0161171202107149 |
| work_keys_str_mv | AT shahabaddinebrahimiatani submodulesofsecondarymodules |