Bhavanari, Satyanarayana; Pradeep Kumar, T. V.; Sridharamalle, Sreenadh; Sriramula, Eswaraiah Setty On completely prime and completely semi-prime ideals in \(\Gamma\)-near-rings. (English) Zbl 1223.16023 Int. J. Comput. Math. Ideas 2, No. 1, 22-27 (2010). Summary: We consider the algebraic system \(\Gamma\)-near-rings that was introduced by Satyanarayana. “\(\Gamma\)-near-ring” is a more generalized system than both near-ring and gamma ring. The aim of this short paper is to study and generalize some important results related to the concepts: completely prime and completely semi-prime ideals, in \(\Gamma\)-near-rings. We include examples whenever necessary. MSC: 16Y99 Generalizations 16D25 Ideals in associative algebras 16Y30 Near-rings Keywords:\(\Gamma\)-near-rings; \(\gamma\)-ideals; \(\gamma\)-semi-prime ideals; completely prime ideals; completely semi-prime ideals PDFBibTeX XMLCite \textit{S. Bhavanari} et al., Int. J. Comput. Math. Ideas 2, No. 1, 22--27 (2010; Zbl 1223.16023)