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https://hdl.handle.net/11147/2515| Title: | Modules whose maximal submodules are supplements | Authors: | Büyükaşık, Engin Pusat, Dilek |
Keywords: | Supplement submodule Locally projective module |
Publisher: | Hacettepe Üniversitesi | Source: | Büyükaşık, E., and Pusat, D. (2010). Modules whose maximal submodules are supplements. Hacettepe Journal of Mathematics and Statistics, 39(4), 477-487. | Abstract: | We study modules whose maximal submodules are supplements (direct summands). For a locally projective module, we prove that every maximal submodule is a direct summand if and only if it is semisimple and projective. We give a complete characterization of the modules whose maximal submodules are supplements over Dedekind domains. | URI: | http://hdl.handle.net/11147/2515 https://search.trdizin.gov.tr/yayin/detay/111803 |
ISSN: | 1303-5010 |
| Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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