Title of article :
On Direct Sum of Branches in Hyper BCK-algebras
Author/Authors :
Harizavi ، Habib Department of Mathematics - Shahid Chamran University of Ahvaz
Abstract :
In this paper, the notion of direct sum of branches in hyper BCK-algebras is introduced and some related properties are investigated. Applying this notion to lower hyper BCK-semi lattice, a necessary condition for a hyper BCK-ideal to be prime is given. Some properties of hyper BCK-chain are studied. It is proved that if H is a hyper BCK-chain and [a) is finite for any a ∈ H, then | Aut(H) |= 1.
Keywords :
Hyper BCK , algebra , (weak , strong) hyper BCK , ideal , Direct sum of branches , Hyper BCK , chain.
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
