P-Dense Submodules
Let M and P be right R−modules. A submodule K of an R−module M is called P−dense if for each m ∈ M,(K : m) is a P−faithful right ideal of R. PR is nonsingular if and only if, for each R−module M, every essential submodule of M is a P−dense submodule. For any R−module M, we obtain P−rational exte...
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| Format: | Article |
| Language: | English |
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Islamic Azad University
2008-03-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/42 |