DUAL RICKART (BEAR) MODULES AND PRERADICALS | ||
| Journal of Algebraic Systems | ||
| دوره 12، شماره 1، آذر 2024، صفحه 179-191 اصل مقاله (160.08 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12207.1641 | ||
| نویسندگان | ||
| Samira Asgari1؛ Yahya Talebi1؛ Ali Reza Moniri Hamzekolaee* 2 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. | ||
| چکیده | ||
| In this work, we introduce dual Rickart (Baer) modules via the con- cept of preradicals. It is shown that W is -d Rickart if and only if W = (W) L such that (W) is a dual Rickart module. We prove that a module W is -d Baer if and only if W is -d Rickart and W satis es strongly summand sum property for d.s. submodules of W contained in (W). Via (RR), we characterize right -d Baer rings. | ||
| کلیدواژهها | ||
| preradical؛ dual Rickart module؛ -d Rickart module, -d Baer module | ||
| مراجع | ||
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