Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/3211
Title: Absolutely supplement and absolutely complement modules
Authors: Alizade, Refail
Erdoğan, Sultan Eylem
Erdoğan, Sultan Eylem
Izmir Institute of Technology. Mathematics
Izmir Institute of Technology. Mathematics
Issue Date: 2004
Publisher: Izmir Institute of Technology
Izmir Institute of Technology
Abstract: We introduce and study absolutely supplement (respectively complement) modules. We call a module an absolutely supplement (respectively complement) if it is a supplement (respectively complement) in every module containing it. We show that a module is absolutely supplement (respectively complement) if and only if it is a supplement (respectively complement) in its injective envelope. The class of all absolutely supplement (respectively complement) modules is closed under extensions and under supplement submodules (respectively under factor modules by complement submodules). We also consider the dual notions of absolutely co-supplements (respectively co-complements).
Description: Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2004
Includes bibliographical references (leaves: 50-51)
Text in English; Abstract: Turkish and English
vi, 49 leaves
URI: http://hdl.handle.net/11147/3211
Appears in Collections:Master Degree / Yüksek Lisans Tezleri

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