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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Homomorphism Theorems in the New View of Fuzzy Gamma Rings

Ebubekir Inan1, Hasret Yazarli2, Mehmet Ali Ozturk3
1Adiyaman University, Faculty Of Arts And Sciences, Department of Mathematics, 02040-Adiyaman, Turkey
2CUMHURIVET UNIVERSITY, FACULTY OF ARTS AND SCIENCES, DEPARTMENT OF MATH- EMATICS, 58140 Sivas, TURKEY
3ADIYAMAN UNIVERSITY, FACULTY OF ARTS AND SCIENCES, DEPARTMENT OF MATHE- MATICS, 02040-ADIYAMAN, TURKEY
  • Published: 30/04/2013

Abstract

In this paper, we introduce several concepts related to fuzzy algebraic structures. We provide an example of a fuzzy binary operation and a fuzzy group. Additionally, we define a new fuzzy binary operation on a \(\Gamma\)-ring \(M\) and introduce a new fuzzy \(\Gamma\)-ring. We also present homomorphism theorems between two fuzzy \(\Gamma\)-rings and investigate some related properties.

Keywords: Fuzzy binary operations; Fuzzy gamma ring; Fuzzy gamma homomorphism
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Citation
Ebubekir Inan, Hasret Yazarli, Mehmet Ali Ozturk. Homomorphism Theorems in the New View of Fuzzy Gamma Rings[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 087. 159-172. DOI: .