Master'sOpen Access

Fuzzy isomorphism theorems of idealistic soft gamma rings

2015
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Advisor: Doç. Dr. Bayram Ali Ersoy

Abstract (EN)

In this thesis the concept of isomorphism of classical algebra is analyzed within the context of the fuzzy algebra. In the first chapter the literature is given. In the second chapter we gave the basic definitions related to clasical algebra; groups, rings, homomorphism, ideal. Then in the third chapter; fuzzy set is defined and fuzzy subgroup, fuzzy subring, fuzzy subideals are investigated. In the fourth chapter some basic definitons and theorems are given about soft sets, soft rings, idealistic soft rings. Also it includes three soft isomorphism theorems. In the fifth chapter gamma rings are studied with definitions, theorems and instances. In the sixth chapter soft gamma rings, idealistic soft gamma rings are demostrated together with definitions and theorems, also given isomorphism theorems for them. In the last chapter several theorems and definitons are given which are related to fuzzy ideals of soft gamma rings had been added. Fuzzy isomorphism theorems of idealistic soft gamma rings (first, second and third fuzzy gamma isomorphism theorems), their proofs and several basic conclusions had been given.

Author

Dr. Elif Aktaş

How to Cite

Elif Aktaş (Master Thesis). Fuzzy isomorphism theorems of idealistic soft gamma rings, 2015, Yıldız Technical University.

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