Article detail · 2020 · article
SS-supplemented modules
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- YÖKSİSYÖKSİS article record
- YÖKSİS venueCommunications faculty of sciences university of Ankara. Series:A1: Mathematics and statistics
- OpenAlexOpenAlex enrichment (abstract, citations, topics)
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Abstract
A module M is called ss-supplemented if every submodule U of M has a supplement V in M such that U(intersection) V is semisimple. It is shown that a finitely generated module M is ss-supplemented if and only if it is supplemented and Rad(M) (submodule) Soc(M). A module M is called strongly local if it is local and Rad(M) (submodule) Soc(M). Any direct sum of strongly local modules is ss-supplemented and coatomic. A ring R is semiperfect and Rad(R) (submodule) Soc( R R) if and only if every left R-module is ss-supplemented if and only if R R is a finite sum of strongly local submodules.
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Citations
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32citationsOpenAlex · cited_by_count (cache / database)
32 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2021 SS-Lifting Modules and RingsCitations 10 · OpenAlex
- 2020 delta-ss-supplemented modulesCitations 10 · OpenAlex
- 2020 \delta_{ss}-supplemented modules and ringsCitations 10 · OpenAlex
- 2022 On Cofinitely SS-Supplemented ModulesCitations 4 · OpenAlex
- 2022 On a Class of Harada RingsCitations 3 · OpenAlex
- 2022 On a class of Harada ringsCitations 3 · OpenAlex
- 2021 Generalizations of ss-supplemented modulesCitations 3 · OpenAlex
- 2023 A note on $ss$-supplement submodulesCitations 2 · OpenAlex
- 2022 On ⊕-δss-supplemented modulesCitations 2 · OpenAlex
- 2025 Characterization of ss-Supplemented Modules With Respect to Finitely Generated Factor Modules in View of SingularityCitations 1 · OpenAlex