FIXED POINTS AND CUT-HOMOMORPHISMS GENERATED BY ACTIONS OF A BE-ALGEBRA ON ITS SUBALGEBRA

The concept of actions of a BE-algebra on its subalgebra is introduced and certain properties of these actions are derived. The notion of cut-homomorphisms is introduced in BE-algebras and proved that the class of all cut-homomorphisms forms an ordered BE-algebra. Properties of fixed points of cut-homomorphisms of BE-algebras are investigated and a set of equivalent conditions is given for any two cut-homomorphisms are equal in the sense of mappings.

کلیدواژه ها:

Subalgebra ، action of a BE-algebra ، cut-homomorphism ، fixed point