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C4- and D4-Modules via perspective direct summands |
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| Authors: | Meltem Altun-Özarslan Yasser Ibrahim Mohamed Yousif |
| Affiliation: | 1. Department of Mathematics, Hacettepe University, Ankara, Turkey;2. Department of Mathematics, Faculty of Science, Taibah University, Madina, Saudi Arabia;3. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt;4. Department of Mathematics, The Ohio State University, Lima, Ohio, USA |
| Abstract: | In this article, we study the C4- and D4-modules in terms of perspective direct summands, providing new characterizations and results. Endomorphism rings of C4-modules and extensions of right C4-rings are also investigated. Decompositions of C4-modules with restricted ACC on direct summands and D4-modules with restricted DCC on direct summands are obtained. |
| Keywords: | Quasi-continuous and quasi-discrete modules C3- and D3-modules perspective direct summands |