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On strongly PI-lifting modules | ||
Caspian Journal of Mathematical Sciences | ||
مقاله 1، دوره 10، شماره 2، اسفند 2021، صفحه 134-141 اصل مقاله (85.62 K) | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2020.16775.1404 | ||
نویسنده | ||
Yeliz Kara* | ||
Department of Mathematics, Bursa Uludağ University, Bursa, Turkey | ||
تاریخ دریافت: 28 تیر 1398، تاریخ بازنگری: 20 مرداد 1399، تاریخ پذیرش: 22 مرداد 1399 | ||
چکیده | ||
In this paper, the class of strongly PI-lifting modules is introduced and investigated. The connections between strongly PI-lifting modules and the generalizations of lifting modules are presented. We provide that the class of strongly PI-lifting modules is contained in the class of PI-lifting modules. Moreover, it is proved that for an Abelian ring R, R is PI-lifting as a right R-module if and only if R=I has a projective cover for every right ideal I of R. The structural properties of strongly PI-lifting modules are determined, and examples are provided to exhibit and delimit our results. | ||
کلیدواژهها | ||
pi-extending module؛ lifting module؛ projection invariant submodule | ||
آمار تعداد مشاهده مقاله: 233 تعداد دریافت فایل اصل مقاله: 275 |