Affiliations: Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, P.R. China | Department of Mathematics, Gaziosmanpasa University, Tokat, Turkey | Department of Mathematics, Amasya University, Amasya, Turkey
Note: [] Corresponding author. Jianming Zhan, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province 445000, China. Tel.: +86 0718-8437732. E-mails: zhanjianming@hotmail.com; ncagman@gop.edu.tr (N. Çağman); aslihan.sezgin@amasya.edu.tr (A. Sezgin Sezer).
Abstract: The aim of this article is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, we introduce the concepts of soft union hemirings (soft union h-ideals) of hemirings by soft intersection-union product and obtain some related results. Finally, we investigate some characterizations of h-hemiregular hemirings by soft union h-ideals.
Keywords: Soft set, soft intersection-union product, soft union hemiring, soft union h-ideal, h-hemiregular hemiring
