| نویسندگان | Hosein Fazaeli Moghimi,hakimeh pirzadehmoghaddambaghsiah, |
| نشریه | Journal of Mahani Mathematical Research |
| شماره صفحات | 361-376 |
| شماره سریال | 15 |
| شماره مجلد | 2 |
| نوع مقاله | Full Paper |
| تاریخ انتشار | 2026 |
| رتبه نشریه | علمی - ترویجی |
| نوع نشریه | چاپی |
| کشور محل چاپ | ایران |
| نمایه نشریه | isc |
| کلید واژه ها | Variety of submodule, Semimodule, Semimodule homomorphism, Exact sequence, Radical submodule. |
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چکیده مقاله
Let R be a commutative ring with identity, and M be an
R-module. We denote by (M) the semimodule consisting of all varieties
of submodules of M over the semiring (R) of varieties of ideals of R. In
this article, we introduce two functors from the category of R-modules to
the category of (R)-semimodules and investigate conditions under which
these functors preserve the short exact sequences of modules. They are
the hom-functors Hom(R)((P); (
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