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unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. We give the concept of an (m,n)-interior ideal of a semiring, and we characterize an intra-regular semiring by (m,n)-interior ideals. In addition, we show that every (m,n)-interior ideal and both m-left ideal and n-right ideal coincide in an intra-regular semiring.

Characterizations of intra-regular semirings by (m,n)-interior ideals