%0 Journal Article %T A short note on categorical equivalences of proper weak pseudo EMV-algebras %J Journal of Algebraic Hyperstructures and Logical Algebras %I University of Hatef (Hatef College University) %Z 2676-6000 %A Dvureˇcenskij, A. %D 2022 %\ 02/01/2022 %V 3 %N 1 %P 35-44 %! A short note on categorical equivalences of proper weak pseudo EMV-algebras %K Weak pseudo EMV-algebra %K pseudo MV-algebra %K idempotent element %K representation of wPEMV-algebras %K proper wPEMV-algebra %K associated wPEMV-algebra %K categorial equivalence %K unital l-group %R 10.52547/HATEF.JAHLA.3.1.4 %X We study the class of weak pseudo EMV-algebras without top element that are a non-commutative generalization of MV-algebras, pseudo MV-algebras and generalized Boolean algebras. We present their categorical equivalences to a special category of pseudo MV-algebras with a fixed maximal and normal ideal as well as to a special category of unital l-groups with a fixed maximal and normal l-ideal. %U https://jahla.hatef.ac.ir/article_140345_7458027f0f98764dea650d29dd69f208.pdf