Hatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60002420211101The investigate of ΓUP-algebras253713995710.52547/HATEF.JAHLA.2.4.3ENS.Ostadhadi-DehkordiDepartment of Mathematics, University of Hormozgan, Bandar Abbas, Iran.K.P.ShumInstitute of Mathematics,Yunnan University, Kunming, 650091, P.R. ChinaJournal Article20211111We first define a new concept, namely, the ΓUP-algebra. Then, we study and investigate the properties of its ΓUP-ideals and ΓUP-subalgebras. As a consequence, we construct a covariant functor between the ΓUP-category and the UP algebra-category. Some possible connections between these categories are also considered.http://jahla.hatef.ac.ir/article_139957_74e866e68d6ec6b0aa67516eae4b3d7b.pdf