Rings whose proper cyclic modules are images of injectives
Is this your thesis?
This record came from a bulk archive import. If it’s yours, link it to your profile.
Abstract (EN)
In this thesis, we study the structure of rings over which certain cyclic modules are homomorphic image of injective modules. After presenting the motivational background and some preliminaries, we consider the case when every nonprojective cyclic is the image of an injective module. Then we narrow our focus to the closed specific case where proper cyclic modules satisfy the said property. We obtain some structure theorems about both classes of rings and apply them to the Artin algebra case. It turns out that an Artin algebra satisfying any of these conditions is Quasi-Frobenius, that is, a right self-injective right Artinian ring.
Author
Elif Tuğçe Meriç
Institution
How to Cite
Elif Tuğçe Meriç (Doctorate thesis). Rings whose proper cyclic modules are images of injectives, 2019, Manisa Celal Bayar University.
Keywords
EN
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from Manisa Celal Bayar University
- Investigation of the relationship of internet addiction level of high school students with parents' attitudes: The case of Manisa(2019)
- Analysing the social integration process of yezidi refugee youngs in the context of multiculturalist social work(2016)
- The security matter of Turkey?s Islands? sea (Eagean sea)(2007)
- Middle income trap problem in terms of sustainable growth resources in Turkiye(2023)
- Examining the leadership styles of fitness center managers according to their organizational response to the crisis: The Covid-19 outbreak case(2023)
- Evaluation of logistics-environmental interactive performances of EU countries and Turkey through environmental efficiency DEA methods in the scope of green logistics(2023)