Projection invariant $t$-Baer and related modules
UDC 512.5 We investigate the concepts of projection invariant $t$-extending modules and projection invariant $t$-Baer modules, which are generalized to those $\pi$-extending and $t$-Baer notions, respectively. Several structural properties are obtained and some&nbsp...
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| Datum: | 2023 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7244 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 512.5
We investigate the concepts of projection invariant $t$-extending modules and projection invariant $t$-Baer modules, which are generalized to those $\pi$-extending and $t$-Baer notions, respectively. Several structural properties are obtained and some applications are developed. It is proved that the $\pi$-$t$-extending modules and $\pi$-$t$-e. Baer modules are connected with each other. Moreover, we obtain a characterization for $\pi$-$t$-extending modules relative to the annihilator conditions. |
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| DOI: | 10.3842/umzh.v75i10.7244 |