Master'sOpen Access

Generalizations of reversible and symmetric rings

2022
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Advisor: Doç. Dr. Handan Köse

Abstract (EN)

This thesis consists of abstract, basic concepts, introduction and three main chapters. The first main section is central reversible rings as a generalization of reversible and central reversible rings are weakly reversible. In the second main chapter, we study central symmetric rings as a generalization of symmetric rings. We investigate which properties of symmetric rings hold for the central case. In the third main chapter, we consider a skew version of reversible and symmetric rings with respect to a ring endomorphism α, in particular we study α- reversible and α- symmetric rings. Also, it is introduced new classes of rings, called central α- reversible and central α- symmetric rings as a generalization of α- reversible and α- symmetric rings. It is proved some results in this general setting.

Author

Dr. Ruhi Yalçın

How to Cite

Ruhi Yalçın (Master Thesis). Generalizations of reversible and symmetric rings, 2022, Kırşehir Ahi Evran University.

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