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On lifting Baer modules | ||
| Journal of Algebra and Related Topics | ||
| دوره 11، شماره 2، اسفند 2023، صفحه 127-133 اصل مقاله (277.37 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2023.23345.1466 | ||
| نویسندگان | ||
| Y. Talebi* 1؛ F. Bakhshandeh2 | ||
| 1Department of Mathematics, University of Mazandaran, Babolsar, Iran | ||
| 2Department of Mathematics, University of Mazandaran, Babolsar, Iran | ||
| چکیده | ||
| We introduce the notion of lifting Baer modules, as a generalization of both Baer and lifting modules and give some of their properties. A module $M$ is called lifting Baer if right annihilator of a left ideal of ${\rm End}(M)$ lies above a direct summand of M. Also, we define the concepts of $r$-supplemented and amply $r$-supplemented modules. It is shown that an amply $r$-supplemened module M that every supplement submodule, is a direct summand of $M$, is lifting Baer. The relationships between Baer modules and lifting Baer modules are investigated. Morever, we prove that the endomorphism ring of any lifting Baer module is lifting Baer ring. | ||
| کلیدواژه‌ها | ||
| lifting Baer module؛ Baer module؛ lifting module؛ Annihilators؛ Endomorphism rings | ||
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آمار تعداد مشاهده مقاله: 110 تعداد دریافت فایل اصل مقاله: 158 |
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