Characterizations of hemiregular hemirings via a kind of new soft union sets

Article type: Research Article

Authors: Ma, Xueling | Zhan, Jianming

Affiliations: Department of Mathematics, Hubei Minzu University, Enshi, Hubei Province, China

Note: [] Corresponding author. Jianming Zhan, Department of Mathematics, Hubei Minzu University, Enshi, Hubei Province 445000, China. Tel: +86 0718-8437732. E-mail: zhanjianming@hotmail.com

Abstract: In this paper, we introduce the concepts of (M,N)-soft union h-bi-ideals and soft union h-quasi-ideals of hemirings. By means of a kind of new ordered relation and soft intersection product (sum), we obtain some related properties. Finally, we investigate some characterizations of h-hemiregular and h-intra-hemiregular hemirings by these kinds of (M,N)-SU-h-ideals.

Keywords: Soft set, soft intersection-union product (sum), (M,N)-SU-hemiring, (M,N)-SU-h-ideal, h-hemiregular hemiring, h-intra hemiregular hemiring

DOI: 10.3233/IFS-141249

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 6, pp. 2883-2895, 2014