Strictly invariant submodules
| Autor: | Breaz, Simion, Călugăreanu, Grigore, Chekhlov, Andrey |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | If $M$ is an $R$-module, we study the submodules $K\leq M$ with the property that $K$ is invariant with respect to all monomorphisms $K\rightarrow M$. Such submodules are called \textsl{strictly invariant}. For the case of $% \mathbb{Z}$-modules (i.e. Abelian groups) we prove that in many situations these submodules are invariant with respect to all homomorphisms $% K\rightarrow M$, submodules which were called \textsl{strongly invariant}. Comment: preprint version; the final version will be published by Mediterranean J. of Math |
| Databáze: | arXiv |
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