ABSTRACT

The concept of “gamma near rings” (defined by Satyanarayana in 1984) is a generalization of both the concepts “gamma ring” and “near ring.” Subsequently, several mathematicians, for example, Booth, Babu Prasad, Cho, Jun, Kim, Ozturk, Kown, Park, Sapanci, Sreenadh, Eswaraiahsettey, George, Groenewald, Godloza, Nagaraju, Pradeep Kumar, Satyanarayana, Selvaraj, Subba Rao, Syam Prasad, Venkatachalam, and Vijayakumari, studied different concepts in gamma near rings, including ideals, prime ideals, semiprime ideals, fuzzy ideals, and fuzzy prime ideals.