Abstract:In this paper we observe that, the notions of (m, n)-fold p-ideals and fuzzy (m, n)-fold p-ideals, for each positive integers m, n, are indeed the natural generalization of p-ideals and fuzzy p-ideals, respectively. A characterization of (m, n)-fold p-ideals and fuzzy (m, n)-fold p-ideals is given, and conditions for which an ideal (respectively fuzzy ideal) is an (m, n)-fold p-ideal (respectively fuzzy (m, n)-fold p-ideal) are studied. We also establish extension properties for (m, n)-fold p-ideals and fuzzy … Show more
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