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Goldie extending modules with condition (C2)

2021
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Advisor: Doç. Dr. Figen Takıl Mutlu

Abstract (EN)

A module M is said to be continuous if it is extending with the con dition (C2). In this thesis, Goldie extending modules with the condition (C2) which is a generalization of a continuous modules are examined. For this purpose, the basic concepts and theorems of module theory are included in the preliminary information section. Furthermore, the definiton and the basic theorems of (C1), (C2), (C3) conditions, Extending (CS module, Continuous module, Goldie extending (G-extending) module, G+- extending module, Generalized Quasi Continuous (GQC) module and Internal Exchange property are given. Any G-extending module with the condition (C2) satisfies the exchange property. In addition, it is proven that if M1 and M2 are G-extending with the condition (C2), then M = M1 ⊕M2 is G-extending with the condition (C2) if and only if Mi is Mj-ejective (i≠j).

Author

Dr. Şeyma Erol

How to Cite

Şeyma Erol (Master Thesis). Goldie extending modules with condition (C2), 2021, Eskişehir Teknik Üniversitesi.

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