The investigate of ΓUP-algebras

Document Type : Original Article


1 Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran.

2 Institute of Mathematics,Yunnan University, Kunming, 650091, P.R. China


We 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.