Academic Journal
SUMMAND INTERSECTION PROPERTY ON THE CLASS OF EXACT SUBMODULES
| العنوان: | SUMMAND INTERSECTION PROPERTY ON THE CLASS OF EXACT SUBMODULES |
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| المؤلفون: | TERCAN, ADNAN, Mutlu, Figen Takil |
| سنة النشر: | 2022 |
| الوصف: | A module M is said to have the SIP if intersection of each pair of direct summands is also a direct summand of M. In this article, we define a module M to have the SIPr if and only if intersection of each pair of exact direct summands is also a direct summand of M where r is a left exact preradical for the category of right modules. We investigate structural properties of SIPr-modules and locate the implications between the other summand intersection properties. We deal with decomposition theory as well as direct summands of SIPr-modules. We provide examples by looking at special left exact preradicals. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| DOI: | 10.2298/pim2225061t |
| الاتاحة: | https://doi.org/10.2298/pim2225061t https://avesis.hacettepe.edu.tr/publication/details/48442d14-f970-4213-ac41-cd848db0911d/oai |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.D6D529CD |
| قاعدة البيانات: | BASE |
| DOI: | 10.2298/pim2225061t |
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