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

References

1. S. S. Ahn, Y. H. Kim and J. M. Ko, Filters in commutative BE-algebras, Commun. Korean Math. Soc., 27(2) (2012), 233–242.
2. A. Borumand Saeid, A. Rezaei and R. A. Borzooei, Some types of filters in BE-algebras, Math. Comput. Sci., 7 (2013), 341–352.
3. K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Mathematica Japonica, 23(1) (1979), 1–26.
4. H. S. Kim and Y. H. Kim, On BE-algebras, Sci. Math. Japon. Online, (2006), 1299–1302.
5. B. L. Meng, On filters in BE-algebras, Sci. Math. Jpn. Online, (2010), 105–111.
6. A. Rezaei and A. Borumand Saeid, Commutative ideals in BE-algebras, Kyungpook Math. J., 52 (2012), 483–494.
7. A. Rezaei and A. Borumand Saeid, Some results in BE-algebras, Analele Universitatii Oradea Fasc. Matematica, Tom XIX, (2012), 33–44.
8. A. Rezaei, A. Borumand Saeid and R. A. Borzooei, Relation between Hilbert algebras and BE-algebras, Appl. Appl. Math., 8(2) (2013), 573–584.
9. M. Sambasiva Rao, A Course in BE-algebras, Springer Nature, 2018.
10. M. Sambasiva Rao and V. V. Kumar, Left and right self maps on BE-algebras, International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT), (2016), 579–591.
11. A. Walendziak, On commutative BE-algebras, Sci. Math. Jpn., (2008), 585–588.
Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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