BAER SUBMODULES OF MODULES OVER COMMUTATIVE RINGS.
| Autor: | Anebri, Adam, Hwankoo Kim, Mahdou, Najib |
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| Zdroj: | International Electronic Journal of Algebra; 2023, Vol. 34, p31-47, 17p |
| Abstrakt: | Let R be a commutative ring and M be an R-module. A submodule N of M is called a d-submodule (resp., an fd-submodule) if AnnR(m) ⊆ Annp(mz) (resp., AnnR(F) ⊆ AnnR(m')) for some m ∈ N (resp., finite subset F ⊆ N) and m' ∈ M implies that m' ∈ N. Many examples, characterizations, and properties of these submodules are given. Moreover, we use them to characterize modules satisfying Property T, reduced modules, and von Neumann regular modules. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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