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

Document Type : Original Manuscript

Author

Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India-535005.

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


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