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

Document Type : Original Manuscript

Author

MVGR COLLEGE OF ENGINEERING, VIZIANAGARAM, INDIA

10.22044/jas.2023.12275.1652

Abstract

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.

Keywords