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.
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