FIXED POINTS AND CUT-HOMOMORPHISMS GENERATED BY ACTIONS OF A BE-ALGEBRA ON ITS SUBALGEBRA | ||
| Journal of Algebraic Systems | ||
| دوره 13، شماره 1، تیر 2025، صفحه 1-20 اصل مقاله (150.35 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12275.1652 | ||
| نویسنده | ||
| Mukkamala Sambasiva Rao* | ||
| Department of Mathematics, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India-535005. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Subalgebra؛ action of a BE-algebra؛ cut-homomorphism؛ fixed point | ||
| مراجع | ||
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