Abstract
In this paper, the generated hyper filters in hyper BE-algebras are represented. Also, the concept of multipliers over hyper BE-algebras is introduced and the existence of multipliers is discussed. In particular, it is proven that the set of all right multipliers is commutative on a self-distributive commutative hyper BE-algebra.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Marty, F.: Surune generalization de la notion de group. In: The 8th Congress Math. Scandinaves, Stockholm, pp. 45–49 (1934)
Jun, Y.B., Zahedi, M.M., Xin, X.L., Borzooei, R.A.: On hyper BCK-algebras. Ital. J. Pure Appl. Math.-N. 8, 127–136 (2000)
Xin, X.L.: Hyper BCI-algebras. Discussiones Mathematicae Gen. Algebr. Appl. 26, 5–19 (2006)
Borzooei, R.A., Hasankhani, A., Zahedi, M.M., Jun, Y.B.: On hyper K-algebras. Math. Japonicae 52, 113–121 (2000)
Ghorbani, S., Hasankhani, A., Eslami, E.: Hyper MV-algebras. Set-Valued Math. Appl. 1, 205–222 (2008)
Cheng, X.Y., Xin, X.L., Jun, Y.B.: Hyper equality algebras. In: Quantitative Logic and Soft Computing 2016, pp. 415–428. Springer, Cham (2017)
Radfar, A., Rezaei, A., Saeid, A.B.: Hyper BE-algebras. Novi. Sad. J Math. 44(2), 137–147 (2014)
Rezaei, A., Radfar A., Saeid, A.B.: On commutative hyper BE-algebras. Facta Universitatis (NI\(\check{S}\)). 30(4), 389–399 (2015)
Cheng, X.Y., Xin, X.L.: Filter theory on hyper BE-algebras. Ital. J. Pure Appl. Math.-N. 35, 509–526 (2015)
Corsini, P.: Prolegomena of hypergroup theory. Aviani (1994)
Corsini P., Leoreanu V.: Applications of hyperstructure theory. Springer, US (2013)
Larsen, R.: An Introduction to the Theory of Multipliers. Springer, Heidelberg (1971)
Cornish, W.H.: The multiplier extension of a distributive lattice. J. Algebr. 32(2), 339–355 (1974)
Khorami, R.T., Saeid, A.B.: Multiplier in BL-algebras. Iran. J. Sci. Technol. (Sci.) 8(2), 95–103 (2014)
Rao, M.S.: Multiplier of hypersemilattices. Int. J. Math. Soft Comput. 3(1), 29–35 (2013)
Acknowledgments
This research is supported by a grant of Shaanxi Railway Institute Research Fund Project (Ky2017-093).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Cheng, X.Y., Wang, J.T., Wang, W. (2019). Some Results in Hyper BE-algebras. In: Xiong, N., Xiao, Z., Tong, Z., Du, J., Wang, L., Li, M. (eds) Advances in Computational Science and Computing. ISCSC 2018 2018. Advances in Intelligent Systems and Computing, vol 877. Springer, Cham. https://doi.org/10.1007/978-3-030-02116-0_45
Download citation
DOI: https://doi.org/10.1007/978-3-030-02116-0_45
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-02115-3
Online ISBN: 978-3-030-02116-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)