Hatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60002320210801Minimal prime ideals in hoops10912013500410.52547/HATEF.JAHLA.2.3.9ENR.A.BorzooeiDepartment of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti UniversityMonaAalyHatef UniversityJournal Article20210812In this paper, we define the notion of minimal prime ideals of hoops and investigate some properties of them. Then by using the notion of annihilators, we study the relation between minimal prime ideals and annihilators. Also, we introduce the notion of zero divisors elements of hoops and prove that the set of all zero divisors of hoops is a union of all minimal prime ideals of hoop. Finally, by using the notions of minimal prime ideals and maximal ideals of hoop, we introduce two new ideals as p-ideal and m-ideal. Then we study some properties of them and investigate the relation between them and prove that every p-ideal of semi-simple hoop is an m-ideal of it.http://jahla.hatef.ac.ir/article_135004_aa920b87fb4cf022e22d7925e1c2d091.pdf