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On injective modules

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2022
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Abstract (EN)

The basis of this study is injective modules and relative injective modules. The thesis consists of five chapters. In the first part; briefly, the history of injective modules is mentioned and the studies of mathematicians who have made important studies in the literature are mentioned. In addition, the aim and scope of the study are also mentioned in this section. In the second part; The basic concepts to be used in the study and the properties related to these concepts are given. In the third part; Injective modules and injective envelopes are defined and it is said that the different characterizations of these modules and the connections between them and especially each module can be embedded in an injective module. In addition, in this section, divisible modules are introduced and their relationship with injective modules is investigated. In the fourth chapter; relative injective modules were introduced and especially the quasi injective modules were mentioned. In addition, in this section, the relationship between the concepts of injectivity, quasi injectivity, quasi continuity and CS module is given and it is concluded that CS modules are a generalization of injective modules. In the fifth chapter, he made suggestions are made which will help young researchers who will work on the thesis topic in the future.

Author

Kevser Soytürk

How to Cite

Kevser Soytürk (Master Thesis). On injective modules, 2022, Tekirdağ Namık Kemal University.

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